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Finding the Fourth Proportional to 27,807.90, 41,707.80 and 8,084.40

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Solution

The fourth proportional to 27,807.90, 41,707.80 and 8,084.40 is: 12,125.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,807.90 : 41,707.80 = 8,084.40 : x
  2. Step 2: Convert to fraction form
    27,807.90/41,707.80 = 8,084.40/x
  3. Step 3: Cross multiply
    27,807.90x = 41,707.80 × 8,084.40
  4. Step 4: Simplify right side
    27,807.90x = 337,182,538.32
  5. Step 5: Solve for x
    x = 337,182,538.32/27,807.90
  6. Step 6: Final answer
    x = 12,125.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.