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Finding the Fourth Proportional to 13,024.80, 17,972.64 and 7,359.20

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Solution

The fourth proportional to 13,024.80, 17,972.64 and 7,359.20 is: 10,154.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.80 : 17,972.64 = 7,359.20 : x
  2. Step 2: Convert to fraction form
    13,024.80/17,972.64 = 7,359.20/x
  3. Step 3: Cross multiply
    13,024.80x = 17,972.64 × 7,359.20
  4. Step 4: Simplify right side
    13,024.80x = 132,264,252.29
  5. Step 5: Solve for x
    x = 132,264,252.29/13,024.80
  6. Step 6: Final answer
    x = 10,154.80

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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.