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Finding the Fourth Proportional to 24,947.70, 37,421.87 and 7,178.93

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Solution

The fourth proportional to 24,947.70, 37,421.87 and 7,178.93 is: 10,768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,947.70 : 37,421.87 = 7,178.93 : x
  2. Step 2: Convert to fraction form
    24,947.70/37,421.87 = 7,178.93/x
  3. Step 3: Cross multiply
    24,947.70x = 37,421.87 × 7,178.93
  4. Step 4: Simplify right side
    24,947.70x = 268,648,902.53
  5. Step 5: Solve for x
    x = 268,648,902.53/24,947.70
  6. Step 6: Final answer
    x = 10,768.49

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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.