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Finding the Fourth Proportional to 11,366.64, 15,686.01 and 6,650.01

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Solution

The fourth proportional to 11,366.64, 15,686.01 and 6,650.01 is: 9,177.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,366.64 : 15,686.01 = 6,650.01 : x
  2. Step 2: Convert to fraction form
    11,366.64/15,686.01 = 6,650.01/x
  3. Step 3: Cross multiply
    11,366.64x = 15,686.01 × 6,650.01
  4. Step 4: Simplify right side
    11,366.64x = 104,312,123.36
  5. Step 5: Solve for x
    x = 104,312,123.36/11,366.64
  6. Step 6: Final answer
    x = 9,177.04

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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.