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Finding the Fourth Proportional to 7,006.98, 9,669.69 and 3,863.28

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Solution

The fourth proportional to 7,006.98, 9,669.69 and 3,863.28 is: 5,331.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.98 : 9,669.69 = 3,863.28 : x
  2. Step 2: Convert to fraction form
    7,006.98/9,669.69 = 3,863.28/x
  3. Step 3: Cross multiply
    7,006.98x = 9,669.69 × 3,863.28
  4. Step 4: Simplify right side
    7,006.98x = 37,356,719.98
  5. Step 5: Solve for x
    x = 37,356,719.98/7,006.98
  6. Step 6: Final answer
    x = 5,331.36

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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.