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Finding the Fourth Proportional to 6,378.76, 8,802.84 and 3,546.22

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Solution

The fourth proportional to 6,378.76, 8,802.84 and 3,546.22 is: 4,893.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.76 : 8,802.84 = 3,546.22 : x
  2. Step 2: Convert to fraction form
    6,378.76/8,802.84 = 3,546.22/x
  3. Step 3: Cross multiply
    6,378.76x = 8,802.84 × 3,546.22
  4. Step 4: Simplify right side
    6,378.76x = 31,216,807.26
  5. Step 5: Solve for x
    x = 31,216,807.26/6,378.76
  6. Step 6: Final answer
    x = 4,893.87

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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.