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Finding the Fourth Proportional to 24,206.50, 36,309.75 and 7,790.50

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Solution

The fourth proportional to 24,206.50, 36,309.75 and 7,790.50 is: 11,685.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,206.50 : 36,309.75 = 7,790.50 : x
  2. Step 2: Convert to fraction form
    24,206.50/36,309.75 = 7,790.50/x
  3. Step 3: Cross multiply
    24,206.50x = 36,309.75 × 7,790.50
  4. Step 4: Simplify right side
    24,206.50x = 282,871,107.38
  5. Step 5: Solve for x
    x = 282,871,107.38/24,206.50
  6. Step 6: Final answer
    x = 11,685.75

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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.