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Finding the Fourth Proportional to 7,165.97, 10,752.12 and 2,783.76

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Solution

The fourth proportional to 7,165.97, 10,752.12 and 2,783.76 is: 4,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.97 : 10,752.12 = 2,783.76 : x
  2. Step 2: Convert to fraction form
    7,165.97/10,752.12 = 2,783.76/x
  3. Step 3: Cross multiply
    7,165.97x = 10,752.12 × 2,783.76
  4. Step 4: Simplify right side
    7,165.97x = 29,931,321.57
  5. Step 5: Solve for x
    x = 29,931,321.57/7,165.97
  6. Step 6: Final answer
    x = 4,176.87

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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.