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Finding the Fourth Proportional to 10,266.68, 15,294.07 and 9,629.24

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Solution

The fourth proportional to 10,266.68, 15,294.07 and 9,629.24 is: 14,344.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266.68 : 15,294.07 = 9,629.24 : x
  2. Step 2: Convert to fraction form
    10,266.68/15,294.07 = 9,629.24/x
  3. Step 3: Cross multiply
    10,266.68x = 15,294.07 × 9,629.24
  4. Step 4: Simplify right side
    10,266.68x = 147,270,270.61
  5. Step 5: Solve for x
    x = 147,270,270.61/10,266.68
  6. Step 6: Final answer
    x = 14,344.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.