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Finding the Fourth Proportional to 6,887.24, 9,506.54 and 4,054.39

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Solution

The fourth proportional to 6,887.24, 9,506.54 and 4,054.39 is: 5,596.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,887.24 : 9,506.54 = 4,054.39 : x
  2. Step 2: Convert to fraction form
    6,887.24/9,506.54 = 4,054.39/x
  3. Step 3: Cross multiply
    6,887.24x = 9,506.54 × 4,054.39
  4. Step 4: Simplify right side
    6,887.24x = 38,543,235.78
  5. Step 5: Solve for x
    x = 38,543,235.78/6,887.24
  6. Step 6: Final answer
    x = 5,596.33

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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.