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Finding the Fourth Proportional to 12,527.74, 17,288.28 and 6,938.74

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Solution

The fourth proportional to 12,527.74, 17,288.28 and 6,938.74 is: 9,575.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.74 : 17,288.28 = 6,938.74 : x
  2. Step 2: Convert to fraction form
    12,527.74/17,288.28 = 6,938.74/x
  3. Step 3: Cross multiply
    12,527.74x = 17,288.28 × 6,938.74
  4. Step 4: Simplify right side
    12,527.74x = 119,958,879.97
  5. Step 5: Solve for x
    x = 119,958,879.97/12,527.74
  6. Step 6: Final answer
    x = 9,575.46

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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.