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Finding the Fourth Proportional to 5,663.30, 7,822.83 and 4,722.17

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Solution

The fourth proportional to 5,663.30, 7,822.83 and 4,722.17 is: 6,522.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.30 : 7,822.83 = 4,722.17 : x
  2. Step 2: Convert to fraction form
    5,663.30/7,822.83 = 4,722.17/x
  3. Step 3: Cross multiply
    5,663.30x = 7,822.83 × 4,722.17
  4. Step 4: Simplify right side
    5,663.30x = 36,940,733.14
  5. Step 5: Solve for x
    x = 36,940,733.14/5,663.30
  6. Step 6: Final answer
    x = 6,522.83

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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.