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Finding the Fourth Proportional to 6,341.64, 9,512.46 and 1,724.64

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Solution

The fourth proportional to 6,341.64, 9,512.46 and 1,724.64 is: 2,586.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.64 : 9,512.46 = 1,724.64 : x
  2. Step 2: Convert to fraction form
    6,341.64/9,512.46 = 1,724.64/x
  3. Step 3: Cross multiply
    6,341.64x = 9,512.46 × 1,724.64
  4. Step 4: Simplify right side
    6,341.64x = 16,405,569.01
  5. Step 5: Solve for x
    x = 16,405,569.01/6,341.64
  6. Step 6: Final answer
    x = 2,586.96

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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.