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Finding the Fourth Proportional to 12,471.68, 17,210.76 and 6,882.32

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Solution

The fourth proportional to 12,471.68, 17,210.76 and 6,882.32 is: 9,497.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.68 : 17,210.76 = 6,882.32 : x
  2. Step 2: Convert to fraction form
    12,471.68/17,210.76 = 6,882.32/x
  3. Step 3: Cross multiply
    12,471.68x = 17,210.76 × 6,882.32
  4. Step 4: Simplify right side
    12,471.68x = 118,449,957.76
  5. Step 5: Solve for x
    x = 118,449,957.76/12,471.68
  6. Step 6: Final answer
    x = 9,497.51

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Half scale
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Double scale
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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.