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Finding the Fourth Proportional to 10,967.98, 15,136.10 and 6,718.96

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Solution

The fourth proportional to 10,967.98, 15,136.10 and 6,718.96 is: 9,272.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.98 : 15,136.10 = 6,718.96 : x
  2. Step 2: Convert to fraction form
    10,967.98/15,136.10 = 6,718.96/x
  3. Step 3: Cross multiply
    10,967.98x = 15,136.10 × 6,718.96
  4. Step 4: Simplify right side
    10,967.98x = 101,698,850.46
  5. Step 5: Solve for x
    x = 101,698,850.46/10,967.98
  6. Step 6: Final answer
    x = 9,272.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.