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Finding the Fourth Proportional to 5,962.60, 8,230.98 and 5,431.24

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Solution

The fourth proportional to 5,962.60, 8,230.98 and 5,431.24 is: 7,497.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.60 : 8,230.98 = 5,431.24 : x
  2. Step 2: Convert to fraction form
    5,962.60/8,230.98 = 5,431.24/x
  3. Step 3: Cross multiply
    5,962.60x = 8,230.98 × 5,431.24
  4. Step 4: Simplify right side
    5,962.60x = 44,704,427.82
  5. Step 5: Solve for x
    x = 44,704,427.82/5,962.60
  6. Step 6: Final answer
    x = 7,497.47

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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.