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Finding the Fourth Proportional to 4,611.78, 6,366.78 and 3,251.16

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Solution

The fourth proportional to 4,611.78, 6,366.78 and 3,251.16 is: 4,488.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.78 : 6,366.78 = 3,251.16 : x
  2. Step 2: Convert to fraction form
    4,611.78/6,366.78 = 3,251.16/x
  3. Step 3: Cross multiply
    4,611.78x = 6,366.78 × 3,251.16
  4. Step 4: Simplify right side
    4,611.78x = 20,699,420.46
  5. Step 5: Solve for x
    x = 20,699,420.46/4,611.78
  6. Step 6: Final answer
    x = 4,488.38

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Double scale
Find fourth proportional to 4,612.78, 6,368.16 and 3,252.16
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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.