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Finding the Fourth Proportional to 24,749.22, 37,123.82 and 7,220.46

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Solution

The fourth proportional to 24,749.22, 37,123.82 and 7,220.46 is: 10,830.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,749.22 : 37,123.82 = 7,220.46 : x
  2. Step 2: Convert to fraction form
    24,749.22/37,123.82 = 7,220.46/x
  3. Step 3: Cross multiply
    24,749.22x = 37,123.82 × 7,220.46
  4. Step 4: Simplify right side
    24,749.22x = 268,051,057.36
  5. Step 5: Solve for x
    x = 268,051,057.36/24,749.22
  6. Step 6: Final answer
    x = 10,830.69

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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.