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Finding the Fourth Proportional to 6,232.80, 9,349.20 and 5,152.80

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Solution

The fourth proportional to 6,232.80, 9,349.20 and 5,152.80 is: 7,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.80 : 9,349.20 = 5,152.80 : x
  2. Step 2: Convert to fraction form
    6,232.80/9,349.20 = 5,152.80/x
  3. Step 3: Cross multiply
    6,232.80x = 9,349.20 × 5,152.80
  4. Step 4: Simplify right side
    6,232.80x = 48,174,557.76
  5. Step 5: Solve for x
    x = 48,174,557.76/6,232.80
  6. Step 6: Final answer
    x = 7,729.20

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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.