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Finding the Fourth Proportional to 7,053.44, 9,733.46 and 4,219.11

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Solution

The fourth proportional to 7,053.44, 9,733.46 and 4,219.11 is: 5,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.44 : 9,733.46 = 4,219.11 : x
  2. Step 2: Convert to fraction form
    7,053.44/9,733.46 = 4,219.11/x
  3. Step 3: Cross multiply
    7,053.44x = 9,733.46 × 4,219.11
  4. Step 4: Simplify right side
    7,053.44x = 41,066,517.33
  5. Step 5: Solve for x
    x = 41,066,517.33/7,053.44
  6. Step 6: Final answer
    x = 5,822.20

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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.