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Finding the Fourth Proportional to 9,310.68, 13,972.86 and 6,852.24

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Solution

The fourth proportional to 9,310.68, 13,972.86 and 6,852.24 is: 10,283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.68 : 13,972.86 = 6,852.24 : x
  2. Step 2: Convert to fraction form
    9,310.68/13,972.86 = 6,852.24/x
  3. Step 3: Cross multiply
    9,310.68x = 13,972.86 × 6,852.24
  4. Step 4: Simplify right side
    9,310.68x = 95,745,390.21
  5. Step 5: Solve for x
    x = 95,745,390.21/9,310.68
  6. Step 6: Final answer
    x = 10,283.39

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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.