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Finding the Fourth Proportional to 7,158.97, 9,876.90 and 4,505.41

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Solution

The fourth proportional to 7,158.97, 9,876.90 and 4,505.41 is: 6,215.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.97 : 9,876.90 = 4,505.41 : x
  2. Step 2: Convert to fraction form
    7,158.97/9,876.90 = 4,505.41/x
  3. Step 3: Cross multiply
    7,158.97x = 9,876.90 × 4,505.41
  4. Step 4: Simplify right side
    7,158.97x = 44,499,484.03
  5. Step 5: Solve for x
    x = 44,499,484.03/7,158.97
  6. Step 6: Final answer
    x = 6,215.91

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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.