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Finding the Fourth Proportional to 7,453.46, 10,286.10 and 4,309.46

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Solution

The fourth proportional to 7,453.46, 10,286.10 and 4,309.46 is: 5,947.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453.46 : 10,286.10 = 4,309.46 : x
  2. Step 2: Convert to fraction form
    7,453.46/10,286.10 = 4,309.46/x
  3. Step 3: Cross multiply
    7,453.46x = 10,286.10 × 4,309.46
  4. Step 4: Simplify right side
    7,453.46x = 44,327,536.51
  5. Step 5: Solve for x
    x = 44,327,536.51/7,453.46
  6. Step 6: Final answer
    x = 5,947.24

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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.