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Finding the Fourth Proportional to 6,588.64, 9,890.64 and 5,202.90

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Solution

The fourth proportional to 6,588.64, 9,890.64 and 5,202.90 is: 7,810.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.64 : 9,890.64 = 5,202.90 : x
  2. Step 2: Convert to fraction form
    6,588.64/9,890.64 = 5,202.90/x
  3. Step 3: Cross multiply
    6,588.64x = 9,890.64 × 5,202.90
  4. Step 4: Simplify right side
    6,588.64x = 51,460,010.86
  5. Step 5: Solve for x
    x = 51,460,010.86/6,588.64
  6. Step 6: Final answer
    x = 7,810.41

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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.