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Finding the Fourth Proportional to 6,341.38, 9,512.08 and 1,724.38

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Solution

The fourth proportional to 6,341.38, 9,512.08 and 1,724.38 is: 2,586.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.38 : 9,512.08 = 1,724.38 : x
  2. Step 2: Convert to fraction form
    6,341.38/9,512.08 = 1,724.38/x
  3. Step 3: Cross multiply
    6,341.38x = 9,512.08 × 1,724.38
  4. Step 4: Simplify right side
    6,341.38x = 16,402,440.51
  5. Step 5: Solve for x
    x = 16,402,440.51/6,341.38
  6. Step 6: Final answer
    x = 2,586.57

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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.