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Finding the Fourth Proportional to 6,232.40, 9,348.42 and 1,552.40

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Solution

The fourth proportional to 6,232.40, 9,348.42 and 1,552.40 is: 2,328.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.40 : 9,348.42 = 1,552.40 : x
  2. Step 2: Convert to fraction form
    6,232.40/9,348.42 = 1,552.40/x
  3. Step 3: Cross multiply
    6,232.40x = 9,348.42 × 1,552.40
  4. Step 4: Simplify right side
    6,232.40x = 14,512,487.21
  5. Step 5: Solve for x
    x = 14,512,487.21/6,232.40
  6. Step 6: Final answer
    x = 2,328.56

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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.