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Finding the Fourth Proportional to 5,951.68, 8,209.47 and 4,690.78

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Solution

The fourth proportional to 5,951.68, 8,209.47 and 4,690.78 is: 6,470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,951.68 : 8,209.47 = 4,690.78 : x
  2. Step 2: Convert to fraction form
    5,951.68/8,209.47 = 4,690.78/x
  3. Step 3: Cross multiply
    5,951.68x = 8,209.47 × 4,690.78
  4. Step 4: Simplify right side
    5,951.68x = 38,508,817.69
  5. Step 5: Solve for x
    x = 38,508,817.69/5,951.68
  6. Step 6: Final answer
    x = 6,470.24

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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.