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Finding the Fourth Proportional to 7,744.90, 10,687.90 and 4,208.14

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Solution

The fourth proportional to 7,744.90, 10,687.90 and 4,208.14 is: 5,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.90 : 10,687.90 = 4,208.14 : x
  2. Step 2: Convert to fraction form
    7,744.90/10,687.90 = 4,208.14/x
  3. Step 3: Cross multiply
    7,744.90x = 10,687.90 × 4,208.14
  4. Step 4: Simplify right side
    7,744.90x = 44,976,179.51
  5. Step 5: Solve for x
    x = 44,976,179.51/7,744.90
  6. Step 6: Final answer
    x = 5,807.20

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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.