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Finding the Fourth Proportional to 4,326.40, 6,487.68 and 1,728.64

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Solution

The fourth proportional to 4,326.40, 6,487.68 and 1,728.64 is: 2,592.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326.40 : 6,487.68 = 1,728.64 : x
  2. Step 2: Convert to fraction form
    4,326.40/6,487.68 = 1,728.64/x
  3. Step 3: Cross multiply
    4,326.40x = 6,487.68 × 1,728.64
  4. Step 4: Simplify right side
    4,326.40x = 11,214,863.16
  5. Step 5: Solve for x
    x = 11,214,863.16/4,326.40
  6. Step 6: Final answer
    x = 2,592.19

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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.