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Finding the Fourth Proportional to 4,948.29, 7,451.80 and 4,306.77

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Solution

The fourth proportional to 4,948.29, 7,451.80 and 4,306.77 is: 6,485.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.29 : 7,451.80 = 4,306.77 : x
  2. Step 2: Convert to fraction form
    4,948.29/7,451.80 = 4,306.77/x
  3. Step 3: Cross multiply
    4,948.29x = 7,451.80 × 4,306.77
  4. Step 4: Simplify right side
    4,948.29x = 32,093,177.92
  5. Step 5: Solve for x
    x = 32,093,177.92/4,948.29
  6. Step 6: Final answer
    x = 6,485.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.