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Finding the Fourth Proportional to 27,597.27, 41,402.90 and 7,875.90

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Solution

The fourth proportional to 27,597.27, 41,402.90 and 7,875.90 is: 11,815.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,597.27 : 41,402.90 = 7,875.90 : x
  2. Step 2: Convert to fraction form
    27,597.27/41,402.90 = 7,875.90/x
  3. Step 3: Cross multiply
    27,597.27x = 41,402.90 × 7,875.90
  4. Step 4: Simplify right side
    27,597.27x = 326,085,060.73
  5. Step 5: Solve for x
    x = 326,085,060.73/27,597.27
  6. Step 6: Final answer
    x = 11,815.84

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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.