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Finding the Fourth Proportional to 6,248.64, 9,414.65 and 5,656.40

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Solution

The fourth proportional to 6,248.64, 9,414.65 and 5,656.40 is: 8,522.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,248.64 : 9,414.65 = 5,656.40 : x
  2. Step 2: Convert to fraction form
    6,248.64/9,414.65 = 5,656.40/x
  3. Step 3: Cross multiply
    6,248.64x = 9,414.65 × 5,656.40
  4. Step 4: Simplify right side
    6,248.64x = 53,253,026.26
  5. Step 5: Solve for x
    x = 53,253,026.26/6,248.64
  6. Step 6: Final answer
    x = 8,522.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.