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Finding the Fourth Proportional to 22,762.57, 34,159.20 and 7,971.62

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Solution

The fourth proportional to 22,762.57, 34,159.20 and 7,971.62 is: 11,962.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,762.57 : 34,159.20 = 7,971.62 : x
  2. Step 2: Convert to fraction form
    22,762.57/34,159.20 = 7,971.62/x
  3. Step 3: Cross multiply
    22,762.57x = 34,159.20 × 7,971.62
  4. Step 4: Simplify right side
    22,762.57x = 272,304,003.65
  5. Step 5: Solve for x
    x = 272,304,003.65/22,762.57
  6. Step 6: Final answer
    x = 11,962.80

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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.