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Finding the Fourth Proportional to 6,898.61, 10,347.97 and 1,968.29

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Solution

The fourth proportional to 6,898.61, 10,347.97 and 1,968.29 is: 2,952.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.61 : 10,347.97 = 1,968.29 : x
  2. Step 2: Convert to fraction form
    6,898.61/10,347.97 = 1,968.29/x
  3. Step 3: Cross multiply
    6,898.61x = 10,347.97 × 1,968.29
  4. Step 4: Simplify right side
    6,898.61x = 20,367,826.82
  5. Step 5: Solve for x
    x = 20,367,826.82/6,898.61
  6. Step 6: Final answer
    x = 2,952.45

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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.