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Finding the Fourth Proportional to 6,564.60, 9,064.32 and 4,047.96

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Solution

The fourth proportional to 6,564.60, 9,064.32 and 4,047.96 is: 5,589.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.60 : 9,064.32 = 4,047.96 : x
  2. Step 2: Convert to fraction form
    6,564.60/9,064.32 = 4,047.96/x
  3. Step 3: Cross multiply
    6,564.60x = 9,064.32 × 4,047.96
  4. Step 4: Simplify right side
    6,564.60x = 36,692,004.79
  5. Step 5: Solve for x
    x = 36,692,004.79/6,564.60
  6. Step 6: Final answer
    x = 5,589.37

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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.