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Finding the Fourth Proportional to 7,559.98, 10,434.47 and 4,203.97

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Solution

The fourth proportional to 7,559.98, 10,434.47 and 4,203.97 is: 5,802.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,559.98 : 10,434.47 = 4,203.97 : x
  2. Step 2: Convert to fraction form
    7,559.98/10,434.47 = 4,203.97/x
  3. Step 3: Cross multiply
    7,559.98x = 10,434.47 × 4,203.97
  4. Step 4: Simplify right side
    7,559.98x = 43,866,198.85
  5. Step 5: Solve for x
    x = 43,866,198.85/7,559.98
  6. Step 6: Final answer
    x = 5,802.42

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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.