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Finding the Fourth Proportional to 6,980.60, 10,468.86 and 2,597.01

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Solution

The fourth proportional to 6,980.60, 10,468.86 and 2,597.01 is: 3,894.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.60 : 10,468.86 = 2,597.01 : x
  2. Step 2: Convert to fraction form
    6,980.60/10,468.86 = 2,597.01/x
  3. Step 3: Cross multiply
    6,980.60x = 10,468.86 × 2,597.01
  4. Step 4: Simplify right side
    6,980.60x = 27,187,734.11
  5. Step 5: Solve for x
    x = 27,187,734.11/6,980.60
  6. Step 6: Final answer
    x = 3,894.76

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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.