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Finding the Fourth Proportional to 4,073.42, 6,109.99 and 1,151.71

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Solution

The fourth proportional to 4,073.42, 6,109.99 and 1,151.71 is: 1,727.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,073.42 : 6,109.99 = 1,151.71 : x
  2. Step 2: Convert to fraction form
    4,073.42/6,109.99 = 1,151.71/x
  3. Step 3: Cross multiply
    4,073.42x = 6,109.99 × 1,151.71
  4. Step 4: Simplify right side
    4,073.42x = 7,036,918.43
  5. Step 5: Solve for x
    x = 7,036,918.43/4,073.42
  6. Step 6: Final answer
    x = 1,727.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.