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Finding the Fourth Proportional to 24,749.87, 37,124.16 and 7,219.85

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Solution

The fourth proportional to 24,749.87, 37,124.16 and 7,219.85 is: 10,829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,749.87 : 37,124.16 = 7,219.85 : x
  2. Step 2: Convert to fraction form
    24,749.87/37,124.16 = 7,219.85/x
  3. Step 3: Cross multiply
    24,749.87x = 37,124.16 × 7,219.85
  4. Step 4: Simplify right side
    24,749.87x = 268,030,680.96
  5. Step 5: Solve for x
    x = 268,030,680.96/24,749.87
  6. Step 6: Final answer
    x = 10,829.58

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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.