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Finding the Fourth Proportional to 6,512.32, 9,768.48 and 4,325.32

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Solution

The fourth proportional to 6,512.32, 9,768.48 and 4,325.32 is: 6,487.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.32 : 9,768.48 = 4,325.32 : x
  2. Step 2: Convert to fraction form
    6,512.32/9,768.48 = 4,325.32/x
  3. Step 3: Cross multiply
    6,512.32x = 9,768.48 × 4,325.32
  4. Step 4: Simplify right side
    6,512.32x = 42,251,801.91
  5. Step 5: Solve for x
    x = 42,251,801.91/6,512.32
  6. Step 6: Final answer
    x = 6,487.98

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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.