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Finding the Fourth Proportional to 6,614.91, 9,924.93 and 2,914.53

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Solution

The fourth proportional to 6,614.91, 9,924.93 and 2,914.53 is: 4,372.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.91 : 9,924.93 = 2,914.53 : x
  2. Step 2: Convert to fraction form
    6,614.91/9,924.93 = 2,914.53/x
  3. Step 3: Cross multiply
    6,614.91x = 9,924.93 × 2,914.53
  4. Step 4: Simplify right side
    6,614.91x = 28,926,506.23
  5. Step 5: Solve for x
    x = 28,926,506.23/6,614.91
  6. Step 6: Final answer
    x = 4,372.93

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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.