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Finding the Fourth Proportional to 9,284.15, 13,910.01 and 7,734.11

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Solution

The fourth proportional to 9,284.15, 13,910.01 and 7,734.11 is: 11,587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.15 : 13,910.01 = 7,734.11 : x
  2. Step 2: Convert to fraction form
    9,284.15/13,910.01 = 7,734.11/x
  3. Step 3: Cross multiply
    9,284.15x = 13,910.01 × 7,734.11
  4. Step 4: Simplify right side
    9,284.15x = 107,581,477.89
  5. Step 5: Solve for x
    x = 107,581,477.89/9,284.15
  6. Step 6: Final answer
    x = 11,587.66

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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.