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Finding the Fourth Proportional to 4,616.76, 6,368.78 and 3,124.13

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Solution

The fourth proportional to 4,616.76, 6,368.78 and 3,124.13 is: 4,309.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.76 : 6,368.78 = 3,124.13 : x
  2. Step 2: Convert to fraction form
    4,616.76/6,368.78 = 3,124.13/x
  3. Step 3: Cross multiply
    4,616.76x = 6,368.78 × 3,124.13
  4. Step 4: Simplify right side
    4,616.76x = 19,896,896.66
  5. Step 5: Solve for x
    x = 19,896,896.66/4,616.76
  6. Step 6: Final answer
    x = 4,309.71

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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.