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Finding the Fourth Proportional to 4,001.42, 6,000.78 and 1,404.02

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Solution

The fourth proportional to 4,001.42, 6,000.78 and 1,404.02 is: 2,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,001.42 : 6,000.78 = 1,404.02 : x
  2. Step 2: Convert to fraction form
    4,001.42/6,000.78 = 1,404.02/x
  3. Step 3: Cross multiply
    4,001.42x = 6,000.78 × 1,404.02
  4. Step 4: Simplify right side
    4,001.42x = 8,425,215.14
  5. Step 5: Solve for x
    x = 8,425,215.14/4,001.42
  6. Step 6: Final answer
    x = 2,105.56

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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.