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Finding the Fourth Proportional to 12,535.68, 17,297.92 and 7,230.08

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Solution

The fourth proportional to 12,535.68, 17,297.92 and 7,230.08 is: 9,976.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.68 : 17,297.92 = 7,230.08 : x
  2. Step 2: Convert to fraction form
    12,535.68/17,297.92 = 7,230.08/x
  3. Step 3: Cross multiply
    12,535.68x = 17,297.92 × 7,230.08
  4. Step 4: Simplify right side
    12,535.68x = 125,065,345.43
  5. Step 5: Solve for x
    x = 125,065,345.43/12,535.68
  6. Step 6: Final answer
    x = 9,976.75

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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.