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Finding the Fourth Proportional to 27,802.70, 41,704.05 and 7,026.20

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Solution

The fourth proportional to 27,802.70, 41,704.05 and 7,026.20 is: 10,539.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.70 : 41,704.05 = 7,026.20 : x
  2. Step 2: Convert to fraction form
    27,802.70/41,704.05 = 7,026.20/x
  3. Step 3: Cross multiply
    27,802.70x = 41,704.05 × 7,026.20
  4. Step 4: Simplify right side
    27,802.70x = 293,020,996.11
  5. Step 5: Solve for x
    x = 293,020,996.11/27,802.70
  6. Step 6: Final answer
    x = 10,539.30

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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.