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Finding the Fourth Proportional to 13,713.16, 18,924.10 and 7,425.52

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Solution

The fourth proportional to 13,713.16, 18,924.10 and 7,425.52 is: 10,247.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.16 : 18,924.10 = 7,425.52 : x
  2. Step 2: Convert to fraction form
    13,713.16/18,924.10 = 7,425.52/x
  3. Step 3: Cross multiply
    13,713.16x = 18,924.10 × 7,425.52
  4. Step 4: Simplify right side
    13,713.16x = 140,521,283.03
  5. Step 5: Solve for x
    x = 140,521,283.03/13,713.16
  6. Step 6: Final answer
    x = 10,247.18

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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.