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Finding the Fourth Proportional to 12,527.83, 17,288.13 and 6,938.83

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Solution

The fourth proportional to 12,527.83, 17,288.13 and 6,938.83 is: 9,575.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.83 : 17,288.13 = 6,938.83 : x
  2. Step 2: Convert to fraction form
    12,527.83/17,288.13 = 6,938.83/x
  3. Step 3: Cross multiply
    12,527.83x = 17,288.13 × 6,938.83
  4. Step 4: Simplify right side
    12,527.83x = 119,959,395.09
  5. Step 5: Solve for x
    x = 119,959,395.09/12,527.83
  6. Step 6: Final answer
    x = 9,575.43

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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.