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Finding the Fourth Proportional to 5,641.47, 8,449.65 and 5,502.06

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Solution

The fourth proportional to 5,641.47, 8,449.65 and 5,502.06 is: 8,240.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.47 : 8,449.65 = 5,502.06 : x
  2. Step 2: Convert to fraction form
    5,641.47/8,449.65 = 5,502.06/x
  3. Step 3: Cross multiply
    5,641.47x = 8,449.65 × 5,502.06
  4. Step 4: Simplify right side
    5,641.47x = 46,490,481.28
  5. Step 5: Solve for x
    x = 46,490,481.28/5,641.47
  6. Step 6: Final answer
    x = 8,240.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.