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Finding the Fourth Proportional to 5,613.77, 7,747.05 and 3,095.98

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Solution

The fourth proportional to 5,613.77, 7,747.05 and 3,095.98 is: 4,272.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.77 : 7,747.05 = 3,095.98 : x
  2. Step 2: Convert to fraction form
    5,613.77/7,747.05 = 3,095.98/x
  3. Step 3: Cross multiply
    5,613.77x = 7,747.05 × 3,095.98
  4. Step 4: Simplify right side
    5,613.77x = 23,984,657.64
  5. Step 5: Solve for x
    x = 23,984,657.64/5,613.77
  6. Step 6: Final answer
    x = 4,272.47

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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.