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Finding the Fourth Proportional to 6,595.82, 9,894.63 and 2,214.53

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Solution

The fourth proportional to 6,595.82, 9,894.63 and 2,214.53 is: 3,322.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.82 : 9,894.63 = 2,214.53 : x
  2. Step 2: Convert to fraction form
    6,595.82/9,894.63 = 2,214.53/x
  3. Step 3: Cross multiply
    6,595.82x = 9,894.63 × 2,214.53
  4. Step 4: Simplify right side
    6,595.82x = 21,911,905.50
  5. Step 5: Solve for x
    x = 21,911,905.50/6,595.82
  6. Step 6: Final answer
    x = 3,322.09

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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.