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Finding the Fourth Proportional to 8,184.84, 11,294.94 and 4,648

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Solution

The fourth proportional to 8,184.84, 11,294.94 and 4,648 is: 6,414.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.84 : 11,294.94 = 4,648 : x
  2. Step 2: Convert to fraction form
    8,184.84/11,294.94 = 4,648/x
  3. Step 3: Cross multiply
    8,184.84x = 11,294.94 × 4,648
  4. Step 4: Simplify right side
    8,184.84x = 52,498,881.12
  5. Step 5: Solve for x
    x = 52,498,881.12/8,184.84
  6. Step 6: Final answer
    x = 6,414.16

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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.