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Finding the Fourth Proportional to 6,698.34, 10,107.50 and 6,428.61

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Solution

The fourth proportional to 6,698.34, 10,107.50 and 6,428.61 is: 9,700.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.34 : 10,107.50 = 6,428.61 : x
  2. Step 2: Convert to fraction form
    6,698.34/10,107.50 = 6,428.61/x
  3. Step 3: Cross multiply
    6,698.34x = 10,107.50 × 6,428.61
  4. Step 4: Simplify right side
    6,698.34x = 64,977,143.43
  5. Step 5: Solve for x
    x = 64,977,143.43/6,698.34
  6. Step 6: Final answer
    x = 9,700.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.