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Finding the Fourth Proportional to 13,870.16, 20,800.88 and 4,634

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Solution

The fourth proportional to 13,870.16, 20,800.88 and 4,634 is: 6,949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870.16 : 20,800.88 = 4,634 : x
  2. Step 2: Convert to fraction form
    13,870.16/20,800.88 = 4,634/x
  3. Step 3: Cross multiply
    13,870.16x = 20,800.88 × 4,634
  4. Step 4: Simplify right side
    13,870.16x = 96,391,277.92
  5. Step 5: Solve for x
    x = 96,391,277.92/13,870.16
  6. Step 6: Final answer
    x = 6,949.54

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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.