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Finding the Fourth Proportional to 7,913.80, 11,870.70 and 5,726.80

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Solution

The fourth proportional to 7,913.80, 11,870.70 and 5,726.80 is: 8,590.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,913.80 : 11,870.70 = 5,726.80 : x
  2. Step 2: Convert to fraction form
    7,913.80/11,870.70 = 5,726.80/x
  3. Step 3: Cross multiply
    7,913.80x = 11,870.70 × 5,726.80
  4. Step 4: Simplify right side
    7,913.80x = 67,981,124.76
  5. Step 5: Solve for x
    x = 67,981,124.76/7,913.80
  6. Step 6: Final answer
    x = 8,590.20

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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.