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Finding the Fourth Proportional to 12,471.16, 17,193.66 and 10,338.64

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Solution

The fourth proportional to 12,471.16, 17,193.66 and 10,338.64 is: 14,253.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.16 : 17,193.66 = 10,338.64 : x
  2. Step 2: Convert to fraction form
    12,471.16/17,193.66 = 10,338.64/x
  3. Step 3: Cross multiply
    12,471.16x = 17,193.66 × 10,338.64
  4. Step 4: Simplify right side
    12,471.16x = 177,759,061.02
  5. Step 5: Solve for x
    x = 177,759,061.02/12,471.16
  6. Step 6: Final answer
    x = 14,253.61

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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.