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Finding the Fourth Proportional to 15,772.76, 23,664.56 and 7,013.80

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Solution

The fourth proportional to 15,772.76, 23,664.56 and 7,013.80 is: 10,523.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.76 : 23,664.56 = 7,013.80 : x
  2. Step 2: Convert to fraction form
    15,772.76/23,664.56 = 7,013.80/x
  3. Step 3: Cross multiply
    15,772.76x = 23,664.56 × 7,013.80
  4. Step 4: Simplify right side
    15,772.76x = 165,978,490.93
  5. Step 5: Solve for x
    x = 165,978,490.93/15,772.76
  6. Step 6: Final answer
    x = 10,523.11

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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.