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Finding the Fourth Proportional to 24,503.40, 36,764.70 and 9,709.80

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Solution

The fourth proportional to 24,503.40, 36,764.70 and 9,709.80 is: 14,568.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,503.40 : 36,764.70 = 9,709.80 : x
  2. Step 2: Convert to fraction form
    24,503.40/36,764.70 = 9,709.80/x
  3. Step 3: Cross multiply
    24,503.40x = 36,764.70 × 9,709.80
  4. Step 4: Simplify right side
    24,503.40x = 356,977,884.06
  5. Step 5: Solve for x
    x = 356,977,884.06/24,503.40
  6. Step 6: Final answer
    x = 14,568.50

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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.