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Finding the Fourth Proportional to 10,589.40, 15,884.10 and 9,293.40

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Solution

The fourth proportional to 10,589.40, 15,884.10 and 9,293.40 is: 13,940.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.40 : 15,884.10 = 9,293.40 : x
  2. Step 2: Convert to fraction form
    10,589.40/15,884.10 = 9,293.40/x
  3. Step 3: Cross multiply
    10,589.40x = 15,884.10 × 9,293.40
  4. Step 4: Simplify right side
    10,589.40x = 147,617,294.94
  5. Step 5: Solve for x
    x = 147,617,294.94/10,589.40
  6. Step 6: Final answer
    x = 13,940.10

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.