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Finding the Fourth Proportional to 6,987.47, 9,641.31 and 4,004.24

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Solution

The fourth proportional to 6,987.47, 9,641.31 and 4,004.24 is: 5,525.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.47 : 9,641.31 = 4,004.24 : x
  2. Step 2: Convert to fraction form
    6,987.47/9,641.31 = 4,004.24/x
  3. Step 3: Cross multiply
    6,987.47x = 9,641.31 × 4,004.24
  4. Step 4: Simplify right side
    6,987.47x = 38,606,119.15
  5. Step 5: Solve for x
    x = 38,606,119.15/6,987.47
  6. Step 6: Final answer
    x = 5,525.05

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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.