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Finding the Fourth Proportional to 9,474.12, 14,211 and 2,358.27

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Solution

The fourth proportional to 9,474.12, 14,211 and 2,358.27 is: 3,537.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.12 : 14,211 = 2,358.27 : x
  2. Step 2: Convert to fraction form
    9,474.12/14,211 = 2,358.27/x
  3. Step 3: Cross multiply
    9,474.12x = 14,211 × 2,358.27
  4. Step 4: Simplify right side
    9,474.12x = 33,513,374.97
  5. Step 5: Solve for x
    x = 33,513,374.97/9,474.12
  6. Step 6: Final answer
    x = 3,537.36

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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.