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Finding the Fourth Proportional to 7,232.72, 9,980.20 and 4,575.44

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Solution

The fourth proportional to 7,232.72, 9,980.20 and 4,575.44 is: 6,313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.72 : 9,980.20 = 4,575.44 : x
  2. Step 2: Convert to fraction form
    7,232.72/9,980.20 = 4,575.44/x
  3. Step 3: Cross multiply
    7,232.72x = 9,980.20 × 4,575.44
  4. Step 4: Simplify right side
    7,232.72x = 45,663,806.29
  5. Step 5: Solve for x
    x = 45,663,806.29/7,232.72
  6. Step 6: Final answer
    x = 6,313.50

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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.