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Finding the Fourth Proportional to 12,098.20, 16,695.54 and 6,793

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Solution

The fourth proportional to 12,098.20, 16,695.54 and 6,793 is: 9,374.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.20 : 16,695.54 = 6,793 : x
  2. Step 2: Convert to fraction form
    12,098.20/16,695.54 = 6,793/x
  3. Step 3: Cross multiply
    12,098.20x = 16,695.54 × 6,793
  4. Step 4: Simplify right side
    12,098.20x = 113,412,803.22
  5. Step 5: Solve for x
    x = 113,412,803.22/12,098.20
  6. Step 6: Final answer
    x = 9,374.35

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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.