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Finding the Fourth Proportional to 7,101.66, 10,652.97 and 5,176.86

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Solution

The fourth proportional to 7,101.66, 10,652.97 and 5,176.86 is: 7,765.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.66 : 10,652.97 = 5,176.86 : x
  2. Step 2: Convert to fraction form
    7,101.66/10,652.97 = 5,176.86/x
  3. Step 3: Cross multiply
    7,101.66x = 10,652.97 × 5,176.86
  4. Step 4: Simplify right side
    7,101.66x = 55,148,934.27
  5. Step 5: Solve for x
    x = 55,148,934.27/7,101.66
  6. Step 6: Final answer
    x = 7,765.64

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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.