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Finding the Fourth Proportional to 27,772.06, 41,658.19 and 6,712.06

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Solution

The fourth proportional to 27,772.06, 41,658.19 and 6,712.06 is: 10,068.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772.06 : 41,658.19 = 6,712.06 : x
  2. Step 2: Convert to fraction form
    27,772.06/41,658.19 = 6,712.06/x
  3. Step 3: Cross multiply
    27,772.06x = 41,658.19 × 6,712.06
  4. Step 4: Simplify right side
    27,772.06x = 279,612,364.00
  5. Step 5: Solve for x
    x = 279,612,364.00/27,772.06
  6. Step 6: Final answer
    x = 10,068.12

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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.