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Finding the Fourth Proportional to 6,522.64, 9,001.28 and 3,538.48

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Solution

The fourth proportional to 6,522.64, 9,001.28 and 3,538.48 is: 4,883.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.64 : 9,001.28 = 3,538.48 : x
  2. Step 2: Convert to fraction form
    6,522.64/9,001.28 = 3,538.48/x
  3. Step 3: Cross multiply
    6,522.64x = 9,001.28 × 3,538.48
  4. Step 4: Simplify right side
    6,522.64x = 31,850,849.25
  5. Step 5: Solve for x
    x = 31,850,849.25/6,522.64
  6. Step 6: Final answer
    x = 4,883.12

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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.