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Finding the Fourth Proportional to 7,801.92, 11,707.20 and 4,674.24

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Solution

The fourth proportional to 7,801.92, 11,707.20 and 4,674.24 is: 7,013.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.92 : 11,707.20 = 4,674.24 : x
  2. Step 2: Convert to fraction form
    7,801.92/11,707.20 = 4,674.24/x
  3. Step 3: Cross multiply
    7,801.92x = 11,707.20 × 4,674.24
  4. Step 4: Simplify right side
    7,801.92x = 54,722,262.53
  5. Step 5: Solve for x
    x = 54,722,262.53/7,801.92
  6. Step 6: Final answer
    x = 7,013.95

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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.