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Finding the Fourth Proportional to 6,616.40, 9,924.36 and 1,686.00

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Solution

The fourth proportional to 6,616.40, 9,924.36 and 1,686.00 is: 2,528.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.40 : 9,924.36 = 1,686.00 : x
  2. Step 2: Convert to fraction form
    6,616.40/9,924.36 = 1,686.00/x
  3. Step 3: Cross multiply
    6,616.40x = 9,924.36 × 1,686.00
  4. Step 4: Simplify right side
    6,616.40x = 16,732,421.34
  5. Step 5: Solve for x
    x = 16,732,421.34/6,616.40
  6. Step 6: Final answer
    x = 2,528.93

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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.