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Finding the Fourth Proportional to 12,682.93, 17,503.07 and 7,306.17

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Solution

The fourth proportional to 12,682.93, 17,503.07 and 7,306.17 is: 10,082.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.93 : 17,503.07 = 7,306.17 : x
  2. Step 2: Convert to fraction form
    12,682.93/17,503.07 = 7,306.17/x
  3. Step 3: Cross multiply
    12,682.93x = 17,503.07 × 7,306.17
  4. Step 4: Simplify right side
    12,682.93x = 127,880,404.94
  5. Step 5: Solve for x
    x = 127,880,404.94/12,682.93
  6. Step 6: Final answer
    x = 10,082.88

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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.