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Finding the Fourth Proportional to 6,463.36, 9,696.12 and 2,567.84

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Solution

The fourth proportional to 6,463.36, 9,696.12 and 2,567.84 is: 3,852.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.36 : 9,696.12 = 2,567.84 : x
  2. Step 2: Convert to fraction form
    6,463.36/9,696.12 = 2,567.84/x
  3. Step 3: Cross multiply
    6,463.36x = 9,696.12 × 2,567.84
  4. Step 4: Simplify right side
    6,463.36x = 24,898,084.78
  5. Step 5: Solve for x
    x = 24,898,084.78/6,463.36
  6. Step 6: Final answer
    x = 3,852.19

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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.