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Finding the Fourth Proportional to 6,657.50, 9,985.98 and 1,977.32

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Solution

The fourth proportional to 6,657.50, 9,985.98 and 1,977.32 is: 2,965.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.50 : 9,985.98 = 1,977.32 : x
  2. Step 2: Convert to fraction form
    6,657.50/9,985.98 = 1,977.32/x
  3. Step 3: Cross multiply
    6,657.50x = 9,985.98 × 1,977.32
  4. Step 4: Simplify right side
    6,657.50x = 19,745,477.97
  5. Step 5: Solve for x
    x = 19,745,477.97/6,657.50
  6. Step 6: Final answer
    x = 2,965.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.