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Finding the Fourth Proportional to 27,925.86, 41,894.96 and 9,205.14

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Solution

The fourth proportional to 27,925.86, 41,894.96 and 9,205.14 is: 13,809.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,925.86 : 41,894.96 = 9,205.14 : x
  2. Step 2: Convert to fraction form
    27,925.86/41,894.96 = 9,205.14/x
  3. Step 3: Cross multiply
    27,925.86x = 41,894.96 × 9,205.14
  4. Step 4: Simplify right side
    27,925.86x = 385,648,972.09
  5. Step 5: Solve for x
    x = 385,648,972.09/27,925.86
  6. Step 6: Final answer
    x = 13,809.74

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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.