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Finding the Fourth Proportional to 7,732.68, 11,597.68 and 3,572.34

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Solution

The fourth proportional to 7,732.68, 11,597.68 and 3,572.34 is: 5,357.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.68 : 11,597.68 = 3,572.34 : x
  2. Step 2: Convert to fraction form
    7,732.68/11,597.68 = 3,572.34/x
  3. Step 3: Cross multiply
    7,732.68x = 11,597.68 × 3,572.34
  4. Step 4: Simplify right side
    7,732.68x = 41,430,856.17
  5. Step 5: Solve for x
    x = 41,430,856.17/7,732.68
  6. Step 6: Final answer
    x = 5,357.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.