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Finding the Fourth Proportional to 12,614.32, 18,893.92 and 10,398.16

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Solution

The fourth proportional to 12,614.32, 18,893.92 and 10,398.16 is: 15,574.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.32 : 18,893.92 = 10,398.16 : x
  2. Step 2: Convert to fraction form
    12,614.32/18,893.92 = 10,398.16/x
  3. Step 3: Cross multiply
    12,614.32x = 18,893.92 × 10,398.16
  4. Step 4: Simplify right side
    12,614.32x = 196,462,003.19
  5. Step 5: Solve for x
    x = 196,462,003.19/12,614.32
  6. Step 6: Final answer
    x = 15,574.52

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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.