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Finding the Fourth Proportional to 8,893.64, 13,331 and 6,695.60

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Solution

The fourth proportional to 8,893.64, 13,331 and 6,695.60 is: 10,036.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,893.64 : 13,331 = 6,695.60 : x
  2. Step 2: Convert to fraction form
    8,893.64/13,331 = 6,695.60/x
  3. Step 3: Cross multiply
    8,893.64x = 13,331 × 6,695.60
  4. Step 4: Simplify right side
    8,893.64x = 89,259,043.60
  5. Step 5: Solve for x
    x = 89,259,043.60/8,893.64
  6. Step 6: Final answer
    x = 10,036.28

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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.