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Finding the Fourth Proportional to 24,890.98, 37,340.10 and 9,096.78

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Solution

The fourth proportional to 24,890.98, 37,340.10 and 9,096.78 is: 13,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,890.98 : 37,340.10 = 9,096.78 : x
  2. Step 2: Convert to fraction form
    24,890.98/37,340.10 = 9,096.78/x
  3. Step 3: Cross multiply
    24,890.98x = 37,340.10 × 9,096.78
  4. Step 4: Simplify right side
    24,890.98x = 339,674,674.88
  5. Step 5: Solve for x
    x = 339,674,674.88/24,890.98
  6. Step 6: Final answer
    x = 13,646.50

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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.