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Finding the Fourth Proportional to 8,167.98, 11,272.05 and 4,631.10

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Solution

The fourth proportional to 8,167.98, 11,272.05 and 4,631.10 is: 6,391.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.98 : 11,272.05 = 4,631.10 : x
  2. Step 2: Convert to fraction form
    8,167.98/11,272.05 = 4,631.10/x
  3. Step 3: Cross multiply
    8,167.98x = 11,272.05 × 4,631.10
  4. Step 4: Simplify right side
    8,167.98x = 52,201,990.76
  5. Step 5: Solve for x
    x = 52,201,990.76/8,167.98
  6. Step 6: Final answer
    x = 6,391.05

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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.