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Finding the Fourth Proportional to 6,949.98, 9,585.99 and 4,429.49

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Solution

The fourth proportional to 6,949.98, 9,585.99 and 4,429.49 is: 6,109.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.98 : 9,585.99 = 4,429.49 : x
  2. Step 2: Convert to fraction form
    6,949.98/9,585.99 = 4,429.49/x
  3. Step 3: Cross multiply
    6,949.98x = 9,585.99 × 4,429.49
  4. Step 4: Simplify right side
    6,949.98x = 42,460,998.92
  5. Step 5: Solve for x
    x = 42,460,998.92/6,949.98
  6. Step 6: Final answer
    x = 6,109.51

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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.