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Finding the Fourth Proportional to 4,685.69, 6,463.13 and 3,407.42

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Solution

The fourth proportional to 4,685.69, 6,463.13 and 3,407.42 is: 4,699.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685.69 : 6,463.13 = 3,407.42 : x
  2. Step 2: Convert to fraction form
    4,685.69/6,463.13 = 3,407.42/x
  3. Step 3: Cross multiply
    4,685.69x = 6,463.13 × 3,407.42
  4. Step 4: Simplify right side
    4,685.69x = 22,022,597.55
  5. Step 5: Solve for x
    x = 22,022,597.55/4,685.69
  6. Step 6: Final answer
    x = 4,699.97

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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.