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Finding the Fourth Proportional to 6,157.92, 8,495.24 and 4,167.76

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Solution

The fourth proportional to 6,157.92, 8,495.24 and 4,167.76 is: 5,749.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.92 : 8,495.24 = 4,167.76 : x
  2. Step 2: Convert to fraction form
    6,157.92/8,495.24 = 4,167.76/x
  3. Step 3: Cross multiply
    6,157.92x = 8,495.24 × 4,167.76
  4. Step 4: Simplify right side
    6,157.92x = 35,406,121.46
  5. Step 5: Solve for x
    x = 35,406,121.46/6,157.92
  6. Step 6: Final answer
    x = 5,749.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.