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Finding the Fourth Proportional to 12,446, 17,178.68 and 7,143.72

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Solution

The fourth proportional to 12,446, 17,178.68 and 7,143.72 is: 9,860.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446 : 17,178.68 = 7,143.72 : x
  2. Step 2: Convert to fraction form
    12,446/17,178.68 = 7,143.72/x
  3. Step 3: Cross multiply
    12,446x = 17,178.68 × 7,143.72
  4. Step 4: Simplify right side
    12,446x = 122,719,679.89
  5. Step 5: Solve for x
    x = 122,719,679.89/12,446
  6. Step 6: Final answer
    x = 9,860.17

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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.