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Finding the Fourth Proportional to 6,346.10, 9,518.85 and 1,666.00

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Solution

The fourth proportional to 6,346.10, 9,518.85 and 1,666.00 is: 2,498.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.10 : 9,518.85 = 1,666.00 : x
  2. Step 2: Convert to fraction form
    6,346.10/9,518.85 = 1,666.00/x
  3. Step 3: Cross multiply
    6,346.10x = 9,518.85 × 1,666.00
  4. Step 4: Simplify right side
    6,346.10x = 15,858,409.75
  5. Step 5: Solve for x
    x = 15,858,409.75/6,346.10
  6. Step 6: Final answer
    x = 2,498.92

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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.