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Finding the Fourth Proportional to 6,218.90, 9,328.04 and 2,323

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Solution

The fourth proportional to 6,218.90, 9,328.04 and 2,323 is: 3,484.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218.90 : 9,328.04 = 2,323 : x
  2. Step 2: Convert to fraction form
    6,218.90/9,328.04 = 2,323/x
  3. Step 3: Cross multiply
    6,218.90x = 9,328.04 × 2,323
  4. Step 4: Simplify right side
    6,218.90x = 21,669,036.92
  5. Step 5: Solve for x
    x = 21,669,036.92/6,218.90
  6. Step 6: Final answer
    x = 3,484.38

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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.