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Finding the Fourth Proportional to 6,214.91, 9,322.04 and 2,319

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Solution

The fourth proportional to 6,214.91, 9,322.04 and 2,319 is: 3,478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.91 : 9,322.04 = 2,319 : x
  2. Step 2: Convert to fraction form
    6,214.91/9,322.04 = 2,319/x
  3. Step 3: Cross multiply
    6,214.91x = 9,322.04 × 2,319
  4. Step 4: Simplify right side
    6,214.91x = 21,617,799.17
  5. Step 5: Solve for x
    x = 21,617,799.17/6,214.91
  6. Step 6: Final answer
    x = 3,478.38

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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.