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Finding the Fourth Proportional to 6,557.36, 9,827.39 and 2,659.64

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Solution

The fourth proportional to 6,557.36, 9,827.39 and 2,659.64 is: 3,985.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.36 : 9,827.39 = 2,659.64 : x
  2. Step 2: Convert to fraction form
    6,557.36/9,827.39 = 2,659.64/x
  3. Step 3: Cross multiply
    6,557.36x = 9,827.39 × 2,659.64
  4. Step 4: Simplify right side
    6,557.36x = 26,137,277.05
  5. Step 5: Solve for x
    x = 26,137,277.05/6,557.36
  6. Step 6: Final answer
    x = 3,985.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.