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Finding the Fourth Proportional to 24,535.86, 36,797.61 and 7,005.78

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Solution

The fourth proportional to 24,535.86, 36,797.61 and 7,005.78 is: 10,506.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,535.86 : 36,797.61 = 7,005.78 : x
  2. Step 2: Convert to fraction form
    24,535.86/36,797.61 = 7,005.78/x
  3. Step 3: Cross multiply
    24,535.86x = 36,797.61 × 7,005.78
  4. Step 4: Simplify right side
    24,535.86x = 257,795,960.19
  5. Step 5: Solve for x
    x = 257,795,960.19/24,535.86
  6. Step 6: Final answer
    x = 10,506.91

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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.