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Finding the Fourth Proportional to 11,516.88, 15,893.08 and 6,801.60

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Solution

The fourth proportional to 11,516.88, 15,893.08 and 6,801.60 is: 9,386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,516.88 : 15,893.08 = 6,801.60 : x
  2. Step 2: Convert to fraction form
    11,516.88/15,893.08 = 6,801.60/x
  3. Step 3: Cross multiply
    11,516.88x = 15,893.08 × 6,801.60
  4. Step 4: Simplify right side
    11,516.88x = 108,098,372.93
  5. Step 5: Solve for x
    x = 108,098,372.93/11,516.88
  6. Step 6: Final answer
    x = 9,386.08

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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.