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Finding the Fourth Proportional to 9,246.14, 13,865.05 and 4,317.22

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Solution

The fourth proportional to 9,246.14, 13,865.05 and 4,317.22 is: 6,473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.14 : 13,865.05 = 4,317.22 : x
  2. Step 2: Convert to fraction form
    9,246.14/13,865.05 = 4,317.22/x
  3. Step 3: Cross multiply
    9,246.14x = 13,865.05 × 4,317.22
  4. Step 4: Simplify right side
    9,246.14x = 59,858,471.16
  5. Step 5: Solve for x
    x = 59,858,471.16/9,246.14
  6. Step 6: Final answer
    x = 6,473.89

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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.