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Finding the Fourth Proportional to 7,229.88, 9,977.28 and 4,043.08

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Solution

The fourth proportional to 7,229.88, 9,977.28 and 4,043.08 is: 5,579.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.88 : 9,977.28 = 4,043.08 : x
  2. Step 2: Convert to fraction form
    7,229.88/9,977.28 = 4,043.08/x
  3. Step 3: Cross multiply
    7,229.88x = 9,977.28 × 4,043.08
  4. Step 4: Simplify right side
    7,229.88x = 40,338,941.22
  5. Step 5: Solve for x
    x = 40,338,941.22/7,229.88
  6. Step 6: Final answer
    x = 5,579.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.