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Finding the Fourth Proportional to 6,664.82, 9,985.48 and 4,442.48

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Solution

The fourth proportional to 6,664.82, 9,985.48 and 4,442.48 is: 6,655.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.82 : 9,985.48 = 4,442.48 : x
  2. Step 2: Convert to fraction form
    6,664.82/9,985.48 = 4,442.48/x
  3. Step 3: Cross multiply
    6,664.82x = 9,985.48 × 4,442.48
  4. Step 4: Simplify right side
    6,664.82x = 44,360,271.60
  5. Step 5: Solve for x
    x = 44,360,271.60/6,664.82
  6. Step 6: Final answer
    x = 6,655.89

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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.