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Finding the Fourth Proportional to 6,664.52, 9,188.10 and 4,778.84

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Solution

The fourth proportional to 6,664.52, 9,188.10 and 4,778.84 is: 6,588.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.52 : 9,188.10 = 4,778.84 : x
  2. Step 2: Convert to fraction form
    6,664.52/9,188.10 = 4,778.84/x
  3. Step 3: Cross multiply
    6,664.52x = 9,188.10 × 4,778.84
  4. Step 4: Simplify right side
    6,664.52x = 43,908,459.80
  5. Step 5: Solve for x
    x = 43,908,459.80/6,664.52
  6. Step 6: Final answer
    x = 6,588.39

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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.