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Finding the Fourth Proportional to 8,602.12, 12,884.95 and 6,498.96

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Solution

The fourth proportional to 8,602.12, 12,884.95 and 6,498.96 is: 9,734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.12 : 12,884.95 = 6,498.96 : x
  2. Step 2: Convert to fraction form
    8,602.12/12,884.95 = 6,498.96/x
  3. Step 3: Cross multiply
    8,602.12x = 12,884.95 × 6,498.96
  4. Step 4: Simplify right side
    8,602.12x = 83,738,734.46
  5. Step 5: Solve for x
    x = 83,738,734.46/8,602.12
  6. Step 6: Final answer
    x = 9,734.66

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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.