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Finding the Fourth Proportional to 7,744.79, 10,687.78 and 4,208.03

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Solution

The fourth proportional to 7,744.79, 10,687.78 and 4,208.03 is: 5,807.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.79 : 10,687.78 = 4,208.03 : x
  2. Step 2: Convert to fraction form
    7,744.79/10,687.78 = 4,208.03/x
  3. Step 3: Cross multiply
    7,744.79x = 10,687.78 × 4,208.03
  4. Step 4: Simplify right side
    7,744.79x = 44,974,490.77
  5. Step 5: Solve for x
    x = 44,974,490.77/7,744.79
  6. Step 6: Final answer
    x = 5,807.06

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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.