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Finding the Fourth Proportional to 24,509.66, 36,767.88 and 7,865.78

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Solution

The fourth proportional to 24,509.66, 36,767.88 and 7,865.78 is: 11,799.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.66 : 36,767.88 = 7,865.78 : x
  2. Step 2: Convert to fraction form
    24,509.66/36,767.88 = 7,865.78/x
  3. Step 3: Cross multiply
    24,509.66x = 36,767.88 × 7,865.78
  4. Step 4: Simplify right side
    24,509.66x = 289,208,055.15
  5. Step 5: Solve for x
    x = 289,208,055.15/24,509.66
  6. Step 6: Final answer
    x = 11,799.76

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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.