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Finding the Fourth Proportional to 6,500.13, 9,752.46 and 2,058.48

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Solution

The fourth proportional to 6,500.13, 9,752.46 and 2,058.48 is: 3,088.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.13 : 9,752.46 = 2,058.48 : x
  2. Step 2: Convert to fraction form
    6,500.13/9,752.46 = 2,058.48/x
  3. Step 3: Cross multiply
    6,500.13x = 9,752.46 × 2,058.48
  4. Step 4: Simplify right side
    6,500.13x = 20,075,243.86
  5. Step 5: Solve for x
    x = 20,075,243.86/6,500.13
  6. Step 6: Final answer
    x = 3,088.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.