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Finding the Fourth Proportional to 8,543.46, 12,815.28 and 2,996.94

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Solution

The fourth proportional to 8,543.46, 12,815.28 and 2,996.94 is: 4,495.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.46 : 12,815.28 = 2,996.94 : x
  2. Step 2: Convert to fraction form
    8,543.46/12,815.28 = 2,996.94/x
  3. Step 3: Cross multiply
    8,543.46x = 12,815.28 × 2,996.94
  4. Step 4: Simplify right side
    8,543.46x = 38,406,610.26
  5. Step 5: Solve for x
    x = 38,406,610.26/8,543.46
  6. Step 6: Final answer
    x = 4,495.44

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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.