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Finding the Fourth Proportional to 5,442.25, 7,510.31 and 3,234.25

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Solution

The fourth proportional to 5,442.25, 7,510.31 and 3,234.25 is: 4,463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.25 : 7,510.31 = 3,234.25 : x
  2. Step 2: Convert to fraction form
    5,442.25/7,510.31 = 3,234.25/x
  3. Step 3: Cross multiply
    5,442.25x = 7,510.31 × 3,234.25
  4. Step 4: Simplify right side
    5,442.25x = 24,290,220.12
  5. Step 5: Solve for x
    x = 24,290,220.12/5,442.25
  6. Step 6: Final answer
    x = 4,463.27

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Half scale
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Double scale
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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.