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Finding the Fourth Proportional to 26,824.98, 40,223.97 and 9,290.10

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Solution

The fourth proportional to 26,824.98, 40,223.97 and 9,290.10 is: 13,930.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,824.98 : 40,223.97 = 9,290.10 : x
  2. Step 2: Convert to fraction form
    26,824.98/40,223.97 = 9,290.10/x
  3. Step 3: Cross multiply
    26,824.98x = 40,223.97 × 9,290.10
  4. Step 4: Simplify right side
    26,824.98x = 373,684,703.70
  5. Step 5: Solve for x
    x = 373,684,703.70/26,824.98
  6. Step 6: Final answer
    x = 13,930.47

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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.