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Finding the Fourth Proportional to 14,066.46, 19,410.93 and 7,691.78

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Solution

The fourth proportional to 14,066.46, 19,410.93 and 7,691.78 is: 10,614.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,066.46 : 19,410.93 = 7,691.78 : x
  2. Step 2: Convert to fraction form
    14,066.46/19,410.93 = 7,691.78/x
  3. Step 3: Cross multiply
    14,066.46x = 19,410.93 × 7,691.78
  4. Step 4: Simplify right side
    14,066.46x = 149,304,632.45
  5. Step 5: Solve for x
    x = 149,304,632.45/14,066.46
  6. Step 6: Final answer
    x = 10,614.23

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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.