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Finding the Fourth Proportional to 6,522.57, 9,001.07 and 3,538.38

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Solution

The fourth proportional to 6,522.57, 9,001.07 and 3,538.38 is: 4,882.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.57 : 9,001.07 = 3,538.38 : x
  2. Step 2: Convert to fraction form
    6,522.57/9,001.07 = 3,538.38/x
  3. Step 3: Cross multiply
    6,522.57x = 9,001.07 × 3,538.38
  4. Step 4: Simplify right side
    6,522.57x = 31,849,181.16
  5. Step 5: Solve for x
    x = 31,849,181.16/6,522.57
  6. Step 6: Final answer
    x = 4,882.92

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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.