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Finding the Fourth Proportional to 10,724.67, 14,800.73 and 6,009.66

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Solution

The fourth proportional to 10,724.67, 14,800.73 and 6,009.66 is: 8,293.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,724.67 : 14,800.73 = 6,009.66 : x
  2. Step 2: Convert to fraction form
    10,724.67/14,800.73 = 6,009.66/x
  3. Step 3: Cross multiply
    10,724.67x = 14,800.73 × 6,009.66
  4. Step 4: Simplify right side
    10,724.67x = 88,947,325.00
  5. Step 5: Solve for x
    x = 88,947,325.00/10,724.67
  6. Step 6: Final answer
    x = 8,293.71

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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.