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Finding the Fourth Proportional to 8,047.97, 12,074.68 and 7,271.58

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Solution

The fourth proportional to 8,047.97, 12,074.68 and 7,271.58 is: 10,909.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.97 : 12,074.68 = 7,271.58 : x
  2. Step 2: Convert to fraction form
    8,047.97/12,074.68 = 7,271.58/x
  3. Step 3: Cross multiply
    8,047.97x = 12,074.68 × 7,271.58
  4. Step 4: Simplify right side
    8,047.97x = 87,802,001.59
  5. Step 5: Solve for x
    x = 87,802,001.59/8,047.97
  6. Step 6: Final answer
    x = 10,909.84

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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.