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Finding the Fourth Proportional to 7,018.38, 9,689.33 and 5,597.50

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Solution

The fourth proportional to 7,018.38, 9,689.33 and 5,597.50 is: 7,727.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,018.38 : 9,689.33 = 5,597.50 : x
  2. Step 2: Convert to fraction form
    7,018.38/9,689.33 = 5,597.50/x
  3. Step 3: Cross multiply
    7,018.38x = 9,689.33 × 5,597.50
  4. Step 4: Simplify right side
    7,018.38x = 54,236,024.68
  5. Step 5: Solve for x
    x = 54,236,024.68/7,018.38
  6. Step 6: Final answer
    x = 7,727.71

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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.