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Finding the Fourth Proportional to 6,602.70, 9,904.05 and 1,985.10

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Solution

The fourth proportional to 6,602.70, 9,904.05 and 1,985.10 is: 2,977.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.70 : 9,904.05 = 1,985.10 : x
  2. Step 2: Convert to fraction form
    6,602.70/9,904.05 = 1,985.10/x
  3. Step 3: Cross multiply
    6,602.70x = 9,904.05 × 1,985.10
  4. Step 4: Simplify right side
    6,602.70x = 19,660,529.66
  5. Step 5: Solve for x
    x = 19,660,529.66/6,602.70
  6. Step 6: Final answer
    x = 2,977.65

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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.