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Finding the Fourth Proportional to 6,492.93, 9,739.38 and 2,597.34

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Solution

The fourth proportional to 6,492.93, 9,739.38 and 2,597.34 is: 3,896.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.93 : 9,739.38 = 2,597.34 : x
  2. Step 2: Convert to fraction form
    6,492.93/9,739.38 = 2,597.34/x
  3. Step 3: Cross multiply
    6,492.93x = 9,739.38 × 2,597.34
  4. Step 4: Simplify right side
    6,492.93x = 25,296,481.25
  5. Step 5: Solve for x
    x = 25,296,481.25/6,492.93
  6. Step 6: Final answer
    x = 3,896.00

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1.5x scale

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.