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Finding the Fourth Proportional to 6,494.92, 8,965.83 and 4,140.16

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Solution

The fourth proportional to 6,494.92, 8,965.83 and 4,140.16 is: 5,715.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.92 : 8,965.83 = 4,140.16 : x
  2. Step 2: Convert to fraction form
    6,494.92/8,965.83 = 4,140.16/x
  3. Step 3: Cross multiply
    6,494.92x = 8,965.83 × 4,140.16
  4. Step 4: Simplify right side
    6,494.92x = 37,119,970.73
  5. Step 5: Solve for x
    x = 37,119,970.73/6,494.92
  6. Step 6: Final answer
    x = 5,715.23

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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.