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Finding the Fourth Proportional to 6,078.53, 9,117.90 and 1,695.92

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Solution

The fourth proportional to 6,078.53, 9,117.90 and 1,695.92 is: 2,543.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.53 : 9,117.90 = 1,695.92 : x
  2. Step 2: Convert to fraction form
    6,078.53/9,117.90 = 1,695.92/x
  3. Step 3: Cross multiply
    6,078.53x = 9,117.90 × 1,695.92
  4. Step 4: Simplify right side
    6,078.53x = 15,463,183.38
  5. Step 5: Solve for x
    x = 15,463,183.38/6,078.53
  6. Step 6: Final answer
    x = 2,543.90

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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.