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Finding the Fourth Proportional to 7,472.52, 11,208.78 and 6,510.24

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Solution

The fourth proportional to 7,472.52, 11,208.78 and 6,510.24 is: 9,765.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.52 : 11,208.78 = 6,510.24 : x
  2. Step 2: Convert to fraction form
    7,472.52/11,208.78 = 6,510.24/x
  3. Step 3: Cross multiply
    7,472.52x = 11,208.78 × 6,510.24
  4. Step 4: Simplify right side
    7,472.52x = 72,971,847.91
  5. Step 5: Solve for x
    x = 72,971,847.91/7,472.52
  6. Step 6: Final answer
    x = 9,765.36

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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.