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Finding the Fourth Proportional to 27,800.70, 41,701.05 and 7,024.20

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Solution

The fourth proportional to 27,800.70, 41,701.05 and 7,024.20 is: 10,536.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,800.70 : 41,701.05 = 7,024.20 : x
  2. Step 2: Convert to fraction form
    27,800.70/41,701.05 = 7,024.20/x
  3. Step 3: Cross multiply
    27,800.70x = 41,701.05 × 7,024.20
  4. Step 4: Simplify right side
    27,800.70x = 292,916,515.41
  5. Step 5: Solve for x
    x = 292,916,515.41/27,800.70
  6. Step 6: Final answer
    x = 10,536.30

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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.