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Finding the Fourth Proportional to 24,510.87, 36,762.82 and 7,868.74

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Solution

The fourth proportional to 24,510.87, 36,762.82 and 7,868.74 is: 11,801.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,510.87 : 36,762.82 = 7,868.74 : x
  2. Step 2: Convert to fraction form
    24,510.87/36,762.82 = 7,868.74/x
  3. Step 3: Cross multiply
    24,510.87x = 36,762.82 × 7,868.74
  4. Step 4: Simplify right side
    24,510.87x = 289,277,072.25
  5. Step 5: Solve for x
    x = 289,277,072.25/24,510.87
  6. Step 6: Final answer
    x = 11,801.99

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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.