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Finding the Fourth Proportional to 27,932.30, 41,886.30 and 9,205.10

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Solution

The fourth proportional to 27,932.30, 41,886.30 and 9,205.10 is: 13,803.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,932.30 : 41,886.30 = 9,205.10 : x
  2. Step 2: Convert to fraction form
    27,932.30/41,886.30 = 9,205.10/x
  3. Step 3: Cross multiply
    27,932.30x = 41,886.30 × 9,205.10
  4. Step 4: Simplify right side
    27,932.30x = 385,567,580.13
  5. Step 5: Solve for x
    x = 385,567,580.13/27,932.30
  6. Step 6: Final answer
    x = 13,803.65

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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.