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Finding the Fourth Proportional to 7,232.65, 9,981.55 and 4,046.24

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Solution

The fourth proportional to 7,232.65, 9,981.55 and 4,046.24 is: 5,584.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.65 : 9,981.55 = 4,046.24 : x
  2. Step 2: Convert to fraction form
    7,232.65/9,981.55 = 4,046.24/x
  3. Step 3: Cross multiply
    7,232.65x = 9,981.55 × 4,046.24
  4. Step 4: Simplify right side
    7,232.65x = 40,387,746.87
  5. Step 5: Solve for x
    x = 40,387,746.87/7,232.65
  6. Step 6: Final answer
    x = 5,584.09

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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.