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Finding the Fourth Proportional to 6,883.62, 9,494.10 and 4,641.93

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Solution

The fourth proportional to 6,883.62, 9,494.10 and 4,641.93 is: 6,402.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.62 : 9,494.10 = 4,641.93 : x
  2. Step 2: Convert to fraction form
    6,883.62/9,494.10 = 4,641.93/x
  3. Step 3: Cross multiply
    6,883.62x = 9,494.10 × 4,641.93
  4. Step 4: Simplify right side
    6,883.62x = 44,070,947.61
  5. Step 5: Solve for x
    x = 44,070,947.61/6,883.62
  6. Step 6: Final answer
    x = 6,402.29

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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.