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Finding the Fourth Proportional to 6,553.76, 9,044.04 and 3,569.64

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Solution

The fourth proportional to 6,553.76, 9,044.04 and 3,569.64 is: 4,926.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.76 : 9,044.04 = 3,569.64 : x
  2. Step 2: Convert to fraction form
    6,553.76/9,044.04 = 3,569.64/x
  3. Step 3: Cross multiply
    6,553.76x = 9,044.04 × 3,569.64
  4. Step 4: Simplify right side
    6,553.76x = 32,283,966.95
  5. Step 5: Solve for x
    x = 32,283,966.95/6,553.76
  6. Step 6: Final answer
    x = 4,926.02

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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.