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Finding the Fourth Proportional to 11,298, 15,590.98 and 6,581.98

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Solution

The fourth proportional to 11,298, 15,590.98 and 6,581.98 is: 9,082.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298 : 15,590.98 = 6,581.98 : x
  2. Step 2: Convert to fraction form
    11,298/15,590.98 = 6,581.98/x
  3. Step 3: Cross multiply
    11,298x = 15,590.98 × 6,581.98
  4. Step 4: Simplify right side
    11,298x = 102,619,518.54
  5. Step 5: Solve for x
    x = 102,619,518.54/11,298
  6. Step 6: Final answer
    x = 9,082.98

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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.