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Finding the Fourth Proportional to 11,603.71, 16,010.46 and 7,833.88

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Solution

The fourth proportional to 11,603.71, 16,010.46 and 7,833.88 is: 10,808.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.71 : 16,010.46 = 7,833.88 : x
  2. Step 2: Convert to fraction form
    11,603.71/16,010.46 = 7,833.88/x
  3. Step 3: Cross multiply
    11,603.71x = 16,010.46 × 7,833.88
  4. Step 4: Simplify right side
    11,603.71x = 125,424,022.38
  5. Step 5: Solve for x
    x = 125,424,022.38/11,603.71
  6. Step 6: Final answer
    x = 10,808.96

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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.