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Finding the Fourth Proportional to 8,358, 12,537.84 and 2,202

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Solution

The fourth proportional to 8,358, 12,537.84 and 2,202 is: 3,303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,358 : 12,537.84 = 2,202 : x
  2. Step 2: Convert to fraction form
    8,358/12,537.84 = 2,202/x
  3. Step 3: Cross multiply
    8,358x = 12,537.84 × 2,202
  4. Step 4: Simplify right side
    8,358x = 27,608,323.68
  5. Step 5: Solve for x
    x = 27,608,323.68/8,358
  6. Step 6: Final answer
    x = 3,303.22

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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.