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Finding the Fourth Proportional to 5,613.86, 7,747.16 and 3,095.93

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Solution

The fourth proportional to 5,613.86, 7,747.16 and 3,095.93 is: 4,272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.86 : 7,747.16 = 3,095.93 : x
  2. Step 2: Convert to fraction form
    5,613.86/7,747.16 = 3,095.93/x
  3. Step 3: Cross multiply
    5,613.86x = 7,747.16 × 3,095.93
  4. Step 4: Simplify right side
    5,613.86x = 23,984,703.79
  5. Step 5: Solve for x
    x = 23,984,703.79/5,613.86
  6. Step 6: Final answer
    x = 4,272.41

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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.