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Finding the Fourth Proportional to 9,406.13, 14,110.01 and 9,278.15

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Solution

The fourth proportional to 9,406.13, 14,110.01 and 9,278.15 is: 13,918.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.13 : 14,110.01 = 9,278.15 : x
  2. Step 2: Convert to fraction form
    9,406.13/14,110.01 = 9,278.15/x
  3. Step 3: Cross multiply
    9,406.13x = 14,110.01 × 9,278.15
  4. Step 4: Simplify right side
    9,406.13x = 130,914,789.28
  5. Step 5: Solve for x
    x = 130,914,789.28/9,406.13
  6. Step 6: Final answer
    x = 13,918.03

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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.