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Finding the Fourth Proportional to 6,657.56, 9,985.98 and 1,977.62

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Solution

The fourth proportional to 6,657.56, 9,985.98 and 1,977.62 is: 2,966.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.56 : 9,985.98 = 1,977.62 : x
  2. Step 2: Convert to fraction form
    6,657.56/9,985.98 = 1,977.62/x
  3. Step 3: Cross multiply
    6,657.56x = 9,985.98 × 1,977.62
  4. Step 4: Simplify right side
    6,657.56x = 19,748,431.25
  5. Step 5: Solve for x
    x = 19,748,431.25/6,657.56
  6. Step 6: Final answer
    x = 2,966.32

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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.