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Finding the Fourth Proportional to 12,462.76, 17,199.17 and 7,083.76

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Solution

The fourth proportional to 12,462.76, 17,199.17 and 7,083.76 is: 9,775.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462.76 : 17,199.17 = 7,083.76 : x
  2. Step 2: Convert to fraction form
    12,462.76/17,199.17 = 7,083.76/x
  3. Step 3: Cross multiply
    12,462.76x = 17,199.17 × 7,083.76
  4. Step 4: Simplify right side
    12,462.76x = 121,834,792.48
  5. Step 5: Solve for x
    x = 121,834,792.48/12,462.76
  6. Step 6: Final answer
    x = 9,775.91

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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.