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Finding the Fourth Proportional to 5,232.48, 7,816.92 and 5,203.68

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Solution

The fourth proportional to 5,232.48, 7,816.92 and 5,203.68 is: 7,773.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.48 : 7,816.92 = 5,203.68 : x
  2. Step 2: Convert to fraction form
    5,232.48/7,816.92 = 5,203.68/x
  3. Step 3: Cross multiply
    5,232.48x = 7,816.92 × 5,203.68
  4. Step 4: Simplify right side
    5,232.48x = 40,676,750.27
  5. Step 5: Solve for x
    x = 40,676,750.27/5,232.48
  6. Step 6: Final answer
    x = 7,773.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.