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Finding the Fourth Proportional to 7,166.68, 10,721.94 and 6,335.56

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Solution

The fourth proportional to 7,166.68, 10,721.94 and 6,335.56 is: 9,478.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.68 : 10,721.94 = 6,335.56 : x
  2. Step 2: Convert to fraction form
    7,166.68/10,721.94 = 6,335.56/x
  3. Step 3: Cross multiply
    7,166.68x = 10,721.94 × 6,335.56
  4. Step 4: Simplify right side
    7,166.68x = 67,929,494.19
  5. Step 5: Solve for x
    x = 67,929,494.19/7,166.68
  6. Step 6: Final answer
    x = 9,478.52

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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.