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Finding the Fourth Proportional to 6,000.64, 9,001.92 and 2,537.92

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Solution

The fourth proportional to 6,000.64, 9,001.92 and 2,537.92 is: 3,807.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.64 : 9,001.92 = 2,537.92 : x
  2. Step 2: Convert to fraction form
    6,000.64/9,001.92 = 2,537.92/x
  3. Step 3: Cross multiply
    6,000.64x = 9,001.92 × 2,537.92
  4. Step 4: Simplify right side
    6,000.64x = 22,846,152.81
  5. Step 5: Solve for x
    x = 22,846,152.81/6,000.64
  6. Step 6: Final answer
    x = 3,807.29

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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.