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Finding the Fourth Proportional to 6,281.64, 8,669.82 and 4,043.16

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Solution

The fourth proportional to 6,281.64, 8,669.82 and 4,043.16 is: 5,580.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.64 : 8,669.82 = 4,043.16 : x
  2. Step 2: Convert to fraction form
    6,281.64/8,669.82 = 4,043.16/x
  3. Step 3: Cross multiply
    6,281.64x = 8,669.82 × 4,043.16
  4. Step 4: Simplify right side
    6,281.64x = 35,053,469.43
  5. Step 5: Solve for x
    x = 35,053,469.43/6,281.64
  6. Step 6: Final answer
    x = 5,580.31

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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.