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Finding the Fourth Proportional to 9,627, 13,277.68 and 6,942.26

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Solution

The fourth proportional to 9,627, 13,277.68 and 6,942.26 is: 9,574.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627 : 13,277.68 = 6,942.26 : x
  2. Step 2: Convert to fraction form
    9,627/13,277.68 = 6,942.26/x
  3. Step 3: Cross multiply
    9,627x = 13,277.68 × 6,942.26
  4. Step 4: Simplify right side
    9,627x = 92,177,106.76
  5. Step 5: Solve for x
    x = 92,177,106.76/9,627
  6. Step 6: Final answer
    x = 9,574.85

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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.