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Finding the Fourth Proportional to 9,041.35, 13,546.08 and 7,918.24

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Solution

The fourth proportional to 9,041.35, 13,546.08 and 7,918.24 is: 11,863.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,041.35 : 13,546.08 = 7,918.24 : x
  2. Step 2: Convert to fraction form
    9,041.35/13,546.08 = 7,918.24/x
  3. Step 3: Cross multiply
    9,041.35x = 13,546.08 × 7,918.24
  4. Step 4: Simplify right side
    9,041.35x = 107,261,044.77
  5. Step 5: Solve for x
    x = 107,261,044.77/9,041.35
  6. Step 6: Final answer
    x = 11,863.39

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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.