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Finding the Fourth Proportional to 6,898.36, 10,347.54 and 1,968.10

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Solution

The fourth proportional to 6,898.36, 10,347.54 and 1,968.10 is: 2,952.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.36 : 10,347.54 = 1,968.10 : x
  2. Step 2: Convert to fraction form
    6,898.36/10,347.54 = 1,968.10/x
  3. Step 3: Cross multiply
    6,898.36x = 10,347.54 × 1,968.10
  4. Step 4: Simplify right side
    6,898.36x = 20,364,993.47
  5. Step 5: Solve for x
    x = 20,364,993.47/6,898.36
  6. Step 6: Final answer
    x = 2,952.15

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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.