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Finding the Fourth Proportional to 24,763.40, 37,119.02 and 8,119.08

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Solution

The fourth proportional to 24,763.40, 37,119.02 and 8,119.08 is: 12,170.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,763.40 : 37,119.02 = 8,119.08 : x
  2. Step 2: Convert to fraction form
    24,763.40/37,119.02 = 8,119.08/x
  3. Step 3: Cross multiply
    24,763.40x = 37,119.02 × 8,119.08
  4. Step 4: Simplify right side
    24,763.40x = 301,372,292.90
  5. Step 5: Solve for x
    x = 301,372,292.90/24,763.40
  6. Step 6: Final answer
    x = 12,170.07

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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.