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Finding the Fourth Proportional to 7,103.80, 9,803.22 and 4,120.24

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Solution

The fourth proportional to 7,103.80, 9,803.22 and 4,120.24 is: 5,685.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.80 : 9,803.22 = 4,120.24 : x
  2. Step 2: Convert to fraction form
    7,103.80/9,803.22 = 4,120.24/x
  3. Step 3: Cross multiply
    7,103.80x = 9,803.22 × 4,120.24
  4. Step 4: Simplify right side
    7,103.80x = 40,391,619.17
  5. Step 5: Solve for x
    x = 40,391,619.17/7,103.80
  6. Step 6: Final answer
    x = 5,685.92

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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.