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Finding the Fourth Proportional to 24,470.30, 36,706.84 and 6,938.76

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Solution

The fourth proportional to 24,470.30, 36,706.84 and 6,938.76 is: 10,408.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,470.30 : 36,706.84 = 6,938.76 : x
  2. Step 2: Convert to fraction form
    24,470.30/36,706.84 = 6,938.76/x
  3. Step 3: Cross multiply
    24,470.30x = 36,706.84 × 6,938.76
  4. Step 4: Simplify right side
    24,470.30x = 254,699,953.12
  5. Step 5: Solve for x
    x = 254,699,953.12/24,470.30
  6. Step 6: Final answer
    x = 10,408.53

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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.