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Finding the Fourth Proportional to 6,378.70, 8,801.64 and 3,546.10

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Solution

The fourth proportional to 6,378.70, 8,801.64 and 3,546.10 is: 4,893.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.70 : 8,801.64 = 3,546.10 : x
  2. Step 2: Convert to fraction form
    6,378.70/8,801.64 = 3,546.10/x
  3. Step 3: Cross multiply
    6,378.70x = 8,801.64 × 3,546.10
  4. Step 4: Simplify right side
    6,378.70x = 31,211,495.60
  5. Step 5: Solve for x
    x = 31,211,495.60/6,378.70
  6. Step 6: Final answer
    x = 4,893.08

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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.