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Finding the Fourth Proportional to 9,867.93, 14,805.39 and 6,165.83

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Solution

The fourth proportional to 9,867.93, 14,805.39 and 6,165.83 is: 9,250.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.93 : 14,805.39 = 6,165.83 : x
  2. Step 2: Convert to fraction form
    9,867.93/14,805.39 = 6,165.83/x
  3. Step 3: Cross multiply
    9,867.93x = 14,805.39 × 6,165.83
  4. Step 4: Simplify right side
    9,867.93x = 91,287,428.38
  5. Step 5: Solve for x
    x = 91,287,428.38/9,867.93
  6. Step 6: Final answer
    x = 9,250.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.