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Finding the Fourth Proportional to 8,498.70, 12,737.28 and 4,803

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Solution

The fourth proportional to 8,498.70, 12,737.28 and 4,803 is: 7,198.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.70 : 12,737.28 = 4,803 : x
  2. Step 2: Convert to fraction form
    8,498.70/12,737.28 = 4,803/x
  3. Step 3: Cross multiply
    8,498.70x = 12,737.28 × 4,803
  4. Step 4: Simplify right side
    8,498.70x = 61,177,155.84
  5. Step 5: Solve for x
    x = 61,177,155.84/8,498.70
  6. Step 6: Final answer
    x = 7,198.41

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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.