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Finding the Fourth Proportional to 10,774.40, 16,129.20 and 9,478.40

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Solution

The fourth proportional to 10,774.40, 16,129.20 and 9,478.40 is: 14,189.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.40 : 16,129.20 = 9,478.40 : x
  2. Step 2: Convert to fraction form
    10,774.40/16,129.20 = 9,478.40/x
  3. Step 3: Cross multiply
    10,774.40x = 16,129.20 × 9,478.40
  4. Step 4: Simplify right side
    10,774.40x = 152,879,009.28
  5. Step 5: Solve for x
    x = 152,879,009.28/10,774.40
  6. Step 6: Final answer
    x = 14,189.10

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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.