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Finding the Fourth Proportional to 6,458.16, 9,699.60 and 4,010.10

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Solution

The fourth proportional to 6,458.16, 9,699.60 and 4,010.10 is: 6,022.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.16 : 9,699.60 = 4,010.10 : x
  2. Step 2: Convert to fraction form
    6,458.16/9,699.60 = 4,010.10/x
  3. Step 3: Cross multiply
    6,458.16x = 9,699.60 × 4,010.10
  4. Step 4: Simplify right side
    6,458.16x = 38,896,365.96
  5. Step 5: Solve for x
    x = 38,896,365.96/6,458.16
  6. Step 6: Final answer
    x = 6,022.82

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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.