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Finding the Fourth Proportional to 8,335.67, 11,497.81 and 5,346.77

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Solution

The fourth proportional to 8,335.67, 11,497.81 and 5,346.77 is: 7,375.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,335.67 : 11,497.81 = 5,346.77 : x
  2. Step 2: Convert to fraction form
    8,335.67/11,497.81 = 5,346.77/x
  3. Step 3: Cross multiply
    8,335.67x = 11,497.81 × 5,346.77
  4. Step 4: Simplify right side
    8,335.67x = 61,476,118.84
  5. Step 5: Solve for x
    x = 61,476,118.84/8,335.67
  6. Step 6: Final answer
    x = 7,375.07

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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.