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Finding the Fourth Proportional to 9,346.14, 13,990.50 and 8,017.54

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Solution

The fourth proportional to 9,346.14, 13,990.50 and 8,017.54 is: 12,001.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.14 : 13,990.50 = 8,017.54 : x
  2. Step 2: Convert to fraction form
    9,346.14/13,990.50 = 8,017.54/x
  3. Step 3: Cross multiply
    9,346.14x = 13,990.50 × 8,017.54
  4. Step 4: Simplify right side
    9,346.14x = 112,169,393.37
  5. Step 5: Solve for x
    x = 112,169,393.37/9,346.14
  6. Step 6: Final answer
    x = 12,001.68

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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.