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Finding the Fourth Proportional to 6,395.06, 9,582.06 and 5,564

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Solution

The fourth proportional to 6,395.06, 9,582.06 and 5,564 is: 8,336.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.06 : 9,582.06 = 5,564 : x
  2. Step 2: Convert to fraction form
    6,395.06/9,582.06 = 5,564/x
  3. Step 3: Cross multiply
    6,395.06x = 9,582.06 × 5,564
  4. Step 4: Simplify right side
    6,395.06x = 53,314,581.84
  5. Step 5: Solve for x
    x = 53,314,581.84/6,395.06
  6. Step 6: Final answer
    x = 8,336.84

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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.