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Finding the Fourth Proportional to 6,369.48, 9,546.30 and 5,712.84

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Solution

The fourth proportional to 6,369.48, 9,546.30 and 5,712.84 is: 8,562.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.48 : 9,546.30 = 5,712.84 : x
  2. Step 2: Convert to fraction form
    6,369.48/9,546.30 = 5,712.84/x
  3. Step 3: Cross multiply
    6,369.48x = 9,546.30 × 5,712.84
  4. Step 4: Simplify right side
    6,369.48x = 54,536,484.49
  5. Step 5: Solve for x
    x = 54,536,484.49/6,369.48
  6. Step 6: Final answer
    x = 8,562.16

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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.