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Finding the Fourth Proportional to 6,518.98, 9,778.47 and 1,588.66

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Solution

The fourth proportional to 6,518.98, 9,778.47 and 1,588.66 is: 2,382.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.98 : 9,778.47 = 1,588.66 : x
  2. Step 2: Convert to fraction form
    6,518.98/9,778.47 = 1,588.66/x
  3. Step 3: Cross multiply
    6,518.98x = 9,778.47 × 1,588.66
  4. Step 4: Simplify right side
    6,518.98x = 15,534,697.69
  5. Step 5: Solve for x
    x = 15,534,697.69/6,518.98
  6. Step 6: Final answer
    x = 2,382.99

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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.