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Finding the Fourth Proportional to 12,582.42, 17,363.70 and 6,993.42

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Solution

The fourth proportional to 12,582.42, 17,363.70 and 6,993.42 is: 9,650.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.42 : 17,363.70 = 6,993.42 : x
  2. Step 2: Convert to fraction form
    12,582.42/17,363.70 = 6,993.42/x
  3. Step 3: Cross multiply
    12,582.42x = 17,363.70 × 6,993.42
  4. Step 4: Simplify right side
    12,582.42x = 121,431,646.85
  5. Step 5: Solve for x
    x = 121,431,646.85/12,582.42
  6. Step 6: Final answer
    x = 9,650.90

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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.