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Finding the Fourth Proportional to 7,151.10, 10,738.80 and 5,304.30

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Solution

The fourth proportional to 7,151.10, 10,738.80 and 5,304.30 is: 7,965.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.10 : 10,738.80 = 5,304.30 : x
  2. Step 2: Convert to fraction form
    7,151.10/10,738.80 = 5,304.30/x
  3. Step 3: Cross multiply
    7,151.10x = 10,738.80 × 5,304.30
  4. Step 4: Simplify right side
    7,151.10x = 56,961,816.84
  5. Step 5: Solve for x
    x = 56,961,816.84/7,151.10
  6. Step 6: Final answer
    x = 7,965.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.