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Finding the Fourth Proportional to 6,763.32, 10,148.10 and 6,474.48

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Solution

The fourth proportional to 6,763.32, 10,148.10 and 6,474.48 is: 9,714.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.32 : 10,148.10 = 6,474.48 : x
  2. Step 2: Convert to fraction form
    6,763.32/10,148.10 = 6,474.48/x
  3. Step 3: Cross multiply
    6,763.32x = 10,148.10 × 6,474.48
  4. Step 4: Simplify right side
    6,763.32x = 65,703,670.49
  5. Step 5: Solve for x
    x = 65,703,670.49/6,763.32
  6. Step 6: Final answer
    x = 9,714.71

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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.