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Finding the Fourth Proportional to 6,365.82, 9,534.96 and 5,664.63

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Solution

The fourth proportional to 6,365.82, 9,534.96 and 5,664.63 is: 8,484.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.82 : 9,534.96 = 5,664.63 : x
  2. Step 2: Convert to fraction form
    6,365.82/9,534.96 = 5,664.63/x
  3. Step 3: Cross multiply
    6,365.82x = 9,534.96 × 5,664.63
  4. Step 4: Simplify right side
    6,365.82x = 54,012,020.46
  5. Step 5: Solve for x
    x = 54,012,020.46/6,365.82
  6. Step 6: Final answer
    x = 8,484.69

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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.