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Finding the Fourth Proportional to 6,987.81, 9,644.56 and 4,005.65

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Solution

The fourth proportional to 6,987.81, 9,644.56 and 4,005.65 is: 5,528.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.81 : 9,644.56 = 4,005.65 : x
  2. Step 2: Convert to fraction form
    6,987.81/9,644.56 = 4,005.65/x
  3. Step 3: Cross multiply
    6,987.81x = 9,644.56 × 4,005.65
  4. Step 4: Simplify right side
    6,987.81x = 38,632,745.86
  5. Step 5: Solve for x
    x = 38,632,745.86/6,987.81
  6. Step 6: Final answer
    x = 5,528.59

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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.