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Finding the Fourth Proportional to 6,898.54, 10,347.85 and 1,968.22

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Solution

The fourth proportional to 6,898.54, 10,347.85 and 1,968.22 is: 2,952.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.54 : 10,347.85 = 1,968.22 : x
  2. Step 2: Convert to fraction form
    6,898.54/10,347.85 = 1,968.22/x
  3. Step 3: Cross multiply
    6,898.54x = 10,347.85 × 1,968.22
  4. Step 4: Simplify right side
    6,898.54x = 20,366,889.83
  5. Step 5: Solve for x
    x = 20,366,889.83/6,898.54
  6. Step 6: Final answer
    x = 2,952.35

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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.