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Finding the Fourth Proportional to 6,686.58, 10,027.86 and 2,523.60

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Solution

The fourth proportional to 6,686.58, 10,027.86 and 2,523.60 is: 3,784.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.58 : 10,027.86 = 2,523.60 : x
  2. Step 2: Convert to fraction form
    6,686.58/10,027.86 = 2,523.60/x
  3. Step 3: Cross multiply
    6,686.58x = 10,027.86 × 2,523.60
  4. Step 4: Simplify right side
    6,686.58x = 25,306,307.50
  5. Step 5: Solve for x
    x = 25,306,307.50/6,686.58
  6. Step 6: Final answer
    x = 3,784.64

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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.