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Finding the Fourth Proportional to 5,166.95, 7,731.90 and 4,475.97

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Solution

The fourth proportional to 5,166.95, 7,731.90 and 4,475.97 is: 6,697.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.95 : 7,731.90 = 4,475.97 : x
  2. Step 2: Convert to fraction form
    5,166.95/7,731.90 = 4,475.97/x
  3. Step 3: Cross multiply
    5,166.95x = 7,731.90 × 4,475.97
  4. Step 4: Simplify right side
    5,166.95x = 34,607,752.44
  5. Step 5: Solve for x
    x = 34,607,752.44/5,166.95
  6. Step 6: Final answer
    x = 6,697.91

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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.