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Finding the Fourth Proportional to 6,522.63, 9,001.16 and 3,538.40

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Solution

The fourth proportional to 6,522.63, 9,001.16 and 3,538.40 is: 4,882.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.63 : 9,001.16 = 3,538.40 : x
  2. Step 2: Convert to fraction form
    6,522.63/9,001.16 = 3,538.40/x
  3. Step 3: Cross multiply
    6,522.63x = 9,001.16 × 3,538.40
  4. Step 4: Simplify right side
    6,522.63x = 31,849,641.85
  5. Step 5: Solve for x
    x = 31,849,641.85/6,522.63
  6. Step 6: Final answer
    x = 4,882.95

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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.