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Finding the Fourth Proportional to 6,522.84, 9,001.52 and 3,538.70

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Solution

The fourth proportional to 6,522.84, 9,001.52 and 3,538.70 is: 4,883.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.84 : 9,001.52 = 3,538.70 : x
  2. Step 2: Convert to fraction form
    6,522.84/9,001.52 = 3,538.70/x
  3. Step 3: Cross multiply
    6,522.84x = 9,001.52 × 3,538.70
  4. Step 4: Simplify right side
    6,522.84x = 31,853,616.12
  5. Step 5: Solve for x
    x = 31,853,616.12/6,522.84
  6. Step 6: Final answer
    x = 4,883.40

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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.