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Finding the Fourth Proportional to 9,600.71, 13,237.02 and 8,009.66

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Solution

The fourth proportional to 9,600.71, 13,237.02 and 8,009.66 is: 11,043.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.71 : 13,237.02 = 8,009.66 : x
  2. Step 2: Convert to fraction form
    9,600.71/13,237.02 = 8,009.66/x
  3. Step 3: Cross multiply
    9,600.71x = 13,237.02 × 8,009.66
  4. Step 4: Simplify right side
    9,600.71x = 106,024,062.71
  5. Step 5: Solve for x
    x = 106,024,062.71/9,600.71
  6. Step 6: Final answer
    x = 11,043.36

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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.