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Finding the Fourth Proportional to 7,297.68, 10,067.19 and 4,312.07

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Solution

The fourth proportional to 7,297.68, 10,067.19 and 4,312.07 is: 5,948.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.68 : 10,067.19 = 4,312.07 : x
  2. Step 2: Convert to fraction form
    7,297.68/10,067.19 = 4,312.07/x
  3. Step 3: Cross multiply
    7,297.68x = 10,067.19 × 4,312.07
  4. Step 4: Simplify right side
    7,297.68x = 43,410,427.98
  5. Step 5: Solve for x
    x = 43,410,427.98/7,297.68
  6. Step 6: Final answer
    x = 5,948.52

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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.