Home / 10,494-14,487.72-6,962.04

Finding the Fourth Proportional to 10,494, 14,487.72 and 6,962.04

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Solution

The fourth proportional to 10,494, 14,487.72 and 6,962.04 is: 9,611.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494 : 14,487.72 = 6,962.04 : x
  2. Step 2: Convert to fraction form
    10,494/14,487.72 = 6,962.04/x
  3. Step 3: Cross multiply
    10,494x = 14,487.72 × 6,962.04
  4. Step 4: Simplify right side
    10,494x = 100,864,086.15
  5. Step 5: Solve for x
    x = 100,864,086.15/10,494
  6. Step 6: Final answer
    x = 9,611.60

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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.