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Finding the Fourth Proportional to 5,463.02, 8,193.11 and 1,566.52

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Solution

The fourth proportional to 5,463.02, 8,193.11 and 1,566.52 is: 2,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.02 : 8,193.11 = 1,566.52 : x
  2. Step 2: Convert to fraction form
    5,463.02/8,193.11 = 1,566.52/x
  3. Step 3: Cross multiply
    5,463.02x = 8,193.11 × 1,566.52
  4. Step 4: Simplify right side
    5,463.02x = 12,834,670.68
  5. Step 5: Solve for x
    x = 12,834,670.68/5,463.02
  6. Step 6: Final answer
    x = 2,349.37

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Half scale
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Double scale
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Similar ratio
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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.