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Finding the Fourth Proportional to 11,564.03, 15,943.84 and 9,437.38

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Solution

The fourth proportional to 11,564.03, 15,943.84 and 9,437.38 is: 13,011.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.03 : 15,943.84 = 9,437.38 : x
  2. Step 2: Convert to fraction form
    11,564.03/15,943.84 = 9,437.38/x
  3. Step 3: Cross multiply
    11,564.03x = 15,943.84 × 9,437.38
  4. Step 4: Simplify right side
    11,564.03x = 150,468,013.29
  5. Step 5: Solve for x
    x = 150,468,013.29/11,564.03
  6. Step 6: Final answer
    x = 13,011.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.