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Finding the Fourth Proportional to 6,898.79, 10,345.14 and 1,967.31

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Solution

The fourth proportional to 6,898.79, 10,345.14 and 1,967.31 is: 2,950.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.79 : 10,345.14 = 1,967.31 : x
  2. Step 2: Convert to fraction form
    6,898.79/10,345.14 = 1,967.31/x
  3. Step 3: Cross multiply
    6,898.79x = 10,345.14 × 1,967.31
  4. Step 4: Simplify right side
    6,898.79x = 20,352,097.37
  5. Step 5: Solve for x
    x = 20,352,097.37/6,898.79
  6. Step 6: Final answer
    x = 2,950.10

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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.