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Finding the Fourth Proportional to 12,841.36, 17,721.16 and 7,252.24

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Solution

The fourth proportional to 12,841.36, 17,721.16 and 7,252.24 is: 10,008.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.36 : 17,721.16 = 7,252.24 : x
  2. Step 2: Convert to fraction form
    12,841.36/17,721.16 = 7,252.24/x
  3. Step 3: Cross multiply
    12,841.36x = 17,721.16 × 7,252.24
  4. Step 4: Simplify right side
    12,841.36x = 128,518,105.40
  5. Step 5: Solve for x
    x = 128,518,105.40/12,841.36
  6. Step 6: Final answer
    x = 10,008.14

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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.