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Finding the Fourth Proportional to 6,225.84, 9,342 and 2,937.24

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Solution

The fourth proportional to 6,225.84, 9,342 and 2,937.24 is: 4,407.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.84 : 9,342 = 2,937.24 : x
  2. Step 2: Convert to fraction form
    6,225.84/9,342 = 2,937.24/x
  3. Step 3: Cross multiply
    6,225.84x = 9,342 × 2,937.24
  4. Step 4: Simplify right side
    6,225.84x = 27,439,696.08
  5. Step 5: Solve for x
    x = 27,439,696.08/6,225.84
  6. Step 6: Final answer
    x = 4,407.39

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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.