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Finding the Fourth Proportional to 7,077.70, 9,744.84 and 5,393.74

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Solution

The fourth proportional to 7,077.70, 9,744.84 and 5,393.74 is: 7,426.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.70 : 9,744.84 = 5,393.74 : x
  2. Step 2: Convert to fraction form
    7,077.70/9,744.84 = 5,393.74/x
  3. Step 3: Cross multiply
    7,077.70x = 9,744.84 × 5,393.74
  4. Step 4: Simplify right side
    7,077.70x = 52,561,133.30
  5. Step 5: Solve for x
    x = 52,561,133.30/7,077.70
  6. Step 6: Final answer
    x = 7,426.30

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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.