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Finding the Fourth Proportional to 7,172.88, 9,899.52 and 4,029.24

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Solution

The fourth proportional to 7,172.88, 9,899.52 and 4,029.24 is: 5,560.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.88 : 9,899.52 = 4,029.24 : x
  2. Step 2: Convert to fraction form
    7,172.88/9,899.52 = 4,029.24/x
  3. Step 3: Cross multiply
    7,172.88x = 9,899.52 × 4,029.24
  4. Step 4: Simplify right side
    7,172.88x = 39,887,541.96
  5. Step 5: Solve for x
    x = 39,887,541.96/7,172.88
  6. Step 6: Final answer
    x = 5,560.88

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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.