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Finding the Fourth Proportional to 8,661.58, 11,948.01 and 6,004.42

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Solution

The fourth proportional to 8,661.58, 11,948.01 and 6,004.42 is: 8,282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661.58 : 11,948.01 = 6,004.42 : x
  2. Step 2: Convert to fraction form
    8,661.58/11,948.01 = 6,004.42/x
  3. Step 3: Cross multiply
    8,661.58x = 11,948.01 × 6,004.42
  4. Step 4: Simplify right side
    8,661.58x = 71,740,870.20
  5. Step 5: Solve for x
    x = 71,740,870.20/8,661.58
  6. Step 6: Final answer
    x = 8,282.65

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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.