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Finding the Fourth Proportional to 12,535.81, 18,785.23 and 6,981.50

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Solution

The fourth proportional to 12,535.81, 18,785.23 and 6,981.50 is: 10,461.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.81 : 18,785.23 = 6,981.50 : x
  2. Step 2: Convert to fraction form
    12,535.81/18,785.23 = 6,981.50/x
  3. Step 3: Cross multiply
    12,535.81x = 18,785.23 × 6,981.50
  4. Step 4: Simplify right side
    12,535.81x = 131,149,112.75
  5. Step 5: Solve for x
    x = 131,149,112.75/12,535.81
  6. Step 6: Final answer
    x = 10,461.96

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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.