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Finding the Fourth Proportional to 24,507.93, 36,761.07 and 6,977.76

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Solution

The fourth proportional to 24,507.93, 36,761.07 and 6,977.76 is: 10,466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,507.93 : 36,761.07 = 6,977.76 : x
  2. Step 2: Convert to fraction form
    24,507.93/36,761.07 = 6,977.76/x
  3. Step 3: Cross multiply
    24,507.93x = 36,761.07 × 6,977.76
  4. Step 4: Simplify right side
    24,507.93x = 256,509,923.80
  5. Step 5: Solve for x
    x = 256,509,923.80/24,507.93
  6. Step 6: Final answer
    x = 10,466.41

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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.