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Finding the Fourth Proportional to 6,987.86, 9,642.82 and 4,003.01

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Solution

The fourth proportional to 6,987.86, 9,642.82 and 4,003.01 is: 5,523.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.86 : 9,642.82 = 4,003.01 : x
  2. Step 2: Convert to fraction form
    6,987.86/9,642.82 = 4,003.01/x
  3. Step 3: Cross multiply
    6,987.86x = 9,642.82 × 4,003.01
  4. Step 4: Simplify right side
    6,987.86x = 38,600,284.87
  5. Step 5: Solve for x
    x = 38,600,284.87/6,987.86
  6. Step 6: Final answer
    x = 5,523.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.