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Finding the Fourth Proportional to 24,541.70, 36,816.02 and 7,897.86

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Solution

The fourth proportional to 24,541.70, 36,816.02 and 7,897.86 is: 11,847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,541.70 : 36,816.02 = 7,897.86 : x
  2. Step 2: Convert to fraction form
    24,541.70/36,816.02 = 7,897.86/x
  3. Step 3: Cross multiply
    24,541.70x = 36,816.02 × 7,897.86
  4. Step 4: Simplify right side
    24,541.70x = 290,767,771.72
  5. Step 5: Solve for x
    x = 290,767,771.72/24,541.70
  6. Step 6: Final answer
    x = 11,847.91

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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.