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Finding the Fourth Proportional to 24,765.96, 37,148.54 and 9,974.49

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Solution

The fourth proportional to 24,765.96, 37,148.54 and 9,974.49 is: 14,961.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,765.96 : 37,148.54 = 9,974.49 : x
  2. Step 2: Convert to fraction form
    24,765.96/37,148.54 = 9,974.49/x
  3. Step 3: Cross multiply
    24,765.96x = 37,148.54 × 9,974.49
  4. Step 4: Simplify right side
    24,765.96x = 370,537,740.74
  5. Step 5: Solve for x
    x = 370,537,740.74/24,765.96
  6. Step 6: Final answer
    x = 14,961.57

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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.