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Finding the Fourth Proportional to 8,534.70, 12,780.45 and 6,806.70

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Solution

The fourth proportional to 8,534.70, 12,780.45 and 6,806.70 is: 10,192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.70 : 12,780.45 = 6,806.70 : x
  2. Step 2: Convert to fraction form
    8,534.70/12,780.45 = 6,806.70/x
  3. Step 3: Cross multiply
    8,534.70x = 12,780.45 × 6,806.70
  4. Step 4: Simplify right side
    8,534.70x = 86,992,689.02
  5. Step 5: Solve for x
    x = 86,992,689.02/8,534.70
  6. Step 6: Final answer
    x = 10,192.82

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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.