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Finding the Fourth Proportional to 6,458.77, 9,688.20 and 2,563.17

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Solution

The fourth proportional to 6,458.77, 9,688.20 and 2,563.17 is: 3,844.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.77 : 9,688.20 = 2,563.17 : x
  2. Step 2: Convert to fraction form
    6,458.77/9,688.20 = 2,563.17/x
  3. Step 3: Cross multiply
    6,458.77x = 9,688.20 × 2,563.17
  4. Step 4: Simplify right side
    6,458.77x = 24,832,503.59
  5. Step 5: Solve for x
    x = 24,832,503.59/6,458.77
  6. Step 6: Final answer
    x = 3,844.77

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.