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Finding the Fourth Proportional to 7,152.60, 9,871.20 and 4,008.78

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Solution

The fourth proportional to 7,152.60, 9,871.20 and 4,008.78 is: 5,532.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.60 : 9,871.20 = 4,008.78 : x
  2. Step 2: Convert to fraction form
    7,152.60/9,871.20 = 4,008.78/x
  3. Step 3: Cross multiply
    7,152.60x = 9,871.20 × 4,008.78
  4. Step 4: Simplify right side
    7,152.60x = 39,571,469.14
  5. Step 5: Solve for x
    x = 39,571,469.14/7,152.60
  6. Step 6: Final answer
    x = 5,532.46

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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.