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Finding the Fourth Proportional to 6,378.84, 8,802.68 and 3,546.17

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Solution

The fourth proportional to 6,378.84, 8,802.68 and 3,546.17 is: 4,893.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.84 : 8,802.68 = 3,546.17 : x
  2. Step 2: Convert to fraction form
    6,378.84/8,802.68 = 3,546.17/x
  3. Step 3: Cross multiply
    6,378.84x = 8,802.68 × 3,546.17
  4. Step 4: Simplify right side
    6,378.84x = 31,215,737.99
  5. Step 5: Solve for x
    x = 31,215,737.99/6,378.84
  6. Step 6: Final answer
    x = 4,893.64

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1.5x scale

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.