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Finding the Fourth Proportional to 10,617.37, 15,882.13 and 9,655.09

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Solution

The fourth proportional to 10,617.37, 15,882.13 and 9,655.09 is: 14,442.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.37 : 15,882.13 = 9,655.09 : x
  2. Step 2: Convert to fraction form
    10,617.37/15,882.13 = 9,655.09/x
  3. Step 3: Cross multiply
    10,617.37x = 15,882.13 × 9,655.09
  4. Step 4: Simplify right side
    10,617.37x = 153,343,394.54
  5. Step 5: Solve for x
    x = 153,343,394.54/10,617.37
  6. Step 6: Final answer
    x = 14,442.69

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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.