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Finding the Fourth Proportional to 6,987.42, 9,650.84 and 5,493.42

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Solution

The fourth proportional to 6,987.42, 9,650.84 and 5,493.42 is: 7,587.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.42 : 9,650.84 = 5,493.42 : x
  2. Step 2: Convert to fraction form
    6,987.42/9,650.84 = 5,493.42/x
  3. Step 3: Cross multiply
    6,987.42x = 9,650.84 × 5,493.42
  4. Step 4: Simplify right side
    6,987.42x = 53,016,117.47
  5. Step 5: Solve for x
    x = 53,016,117.47/6,987.42
  6. Step 6: Final answer
    x = 7,587.37

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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.