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Finding the Fourth Proportional to 8,520.48, 12,764.31 and 6,962.24

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Solution

The fourth proportional to 8,520.48, 12,764.31 and 6,962.24 is: 10,429.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.48 : 12,764.31 = 6,962.24 : x
  2. Step 2: Convert to fraction form
    8,520.48/12,764.31 = 6,962.24/x
  3. Step 3: Cross multiply
    8,520.48x = 12,764.31 × 6,962.24
  4. Step 4: Simplify right side
    8,520.48x = 88,868,125.83
  5. Step 5: Solve for x
    x = 88,868,125.83/8,520.48
  6. Step 6: Final answer
    x = 10,429.94

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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.