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Finding the Fourth Proportional to 10,589.90, 15,884.99 and 7,302.11

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Solution

The fourth proportional to 10,589.90, 15,884.99 and 7,302.11 is: 10,953.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.90 : 15,884.99 = 7,302.11 : x
  2. Step 2: Convert to fraction form
    10,589.90/15,884.99 = 7,302.11/x
  3. Step 3: Cross multiply
    10,589.90x = 15,884.99 × 7,302.11
  4. Step 4: Simplify right side
    10,589.90x = 115,993,828.39
  5. Step 5: Solve for x
    x = 115,993,828.39/10,589.90
  6. Step 6: Final answer
    x = 10,953.26

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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.