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Finding the Fourth Proportional to 6,605.82, 9,913.05 and 5,465.34

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Solution

The fourth proportional to 6,605.82, 9,913.05 and 5,465.34 is: 8,201.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605.82 : 9,913.05 = 5,465.34 : x
  2. Step 2: Convert to fraction form
    6,605.82/9,913.05 = 5,465.34/x
  3. Step 3: Cross multiply
    6,605.82x = 9,913.05 × 5,465.34
  4. Step 4: Simplify right side
    6,605.82x = 54,178,188.69
  5. Step 5: Solve for x
    x = 54,178,188.69/6,605.82
  6. Step 6: Final answer
    x = 8,201.58

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1.5x scale

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.