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Finding the Fourth Proportional to 12,471.12, 17,210.04 and 6,882

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Solution

The fourth proportional to 12,471.12, 17,210.04 and 6,882 is: 9,497.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.12 : 17,210.04 = 6,882 : x
  2. Step 2: Convert to fraction form
    12,471.12/17,210.04 = 6,882/x
  3. Step 3: Cross multiply
    12,471.12x = 17,210.04 × 6,882
  4. Step 4: Simplify right side
    12,471.12x = 118,439,495.28
  5. Step 5: Solve for x
    x = 118,439,495.28/12,471.12
  6. Step 6: Final answer
    x = 9,497.10

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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.