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Finding the Fourth Proportional to 9,750.24, 13,449.24 and 6,393.24

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Solution

The fourth proportional to 9,750.24, 13,449.24 and 6,393.24 is: 8,818.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.24 : 13,449.24 = 6,393.24 : x
  2. Step 2: Convert to fraction form
    9,750.24/13,449.24 = 6,393.24/x
  3. Step 3: Cross multiply
    9,750.24x = 13,449.24 × 6,393.24
  4. Step 4: Simplify right side
    9,750.24x = 85,984,219.14
  5. Step 5: Solve for x
    x = 85,984,219.14/9,750.24
  6. Step 6: Final answer
    x = 8,818.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.