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Finding the Fourth Proportional to 9,441, 13,019.64 and 6,886.44

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Solution

The fourth proportional to 9,441, 13,019.64 and 6,886.44 is: 9,496.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441 : 13,019.64 = 6,886.44 : x
  2. Step 2: Convert to fraction form
    9,441/13,019.64 = 6,886.44/x
  3. Step 3: Cross multiply
    9,441x = 13,019.64 × 6,886.44
  4. Step 4: Simplify right side
    9,441x = 89,658,969.68
  5. Step 5: Solve for x
    x = 89,658,969.68/9,441
  6. Step 6: Final answer
    x = 9,496.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.