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Finding the Fourth Proportional to 8,047.68, 12,057.36 and 7,049.36

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Solution

The fourth proportional to 8,047.68, 12,057.36 and 7,049.36 is: 10,561.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.68 : 12,057.36 = 7,049.36 : x
  2. Step 2: Convert to fraction form
    8,047.68/12,057.36 = 7,049.36/x
  3. Step 3: Cross multiply
    8,047.68x = 12,057.36 × 7,049.36
  4. Step 4: Simplify right side
    8,047.68x = 84,996,671.29
  5. Step 5: Solve for x
    x = 84,996,671.29/8,047.68
  6. Step 6: Final answer
    x = 10,561.64

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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.