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Finding the Fourth Proportional to 7,068.24, 9,756 and 4,414.08

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Solution

The fourth proportional to 7,068.24, 9,756 and 4,414.08 is: 6,092.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,068.24 : 9,756 = 4,414.08 : x
  2. Step 2: Convert to fraction form
    7,068.24/9,756 = 4,414.08/x
  3. Step 3: Cross multiply
    7,068.24x = 9,756 × 4,414.08
  4. Step 4: Simplify right side
    7,068.24x = 43,063,764.48
  5. Step 5: Solve for x
    x = 43,063,764.48/7,068.24
  6. Step 6: Final answer
    x = 6,092.57

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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.