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Finding the Fourth Proportional to 6,695.59, 10,047.99 and 2,313.06

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Solution

The fourth proportional to 6,695.59, 10,047.99 and 2,313.06 is: 3,471.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.59 : 10,047.99 = 2,313.06 : x
  2. Step 2: Convert to fraction form
    6,695.59/10,047.99 = 2,313.06/x
  3. Step 3: Cross multiply
    6,695.59x = 10,047.99 × 2,313.06
  4. Step 4: Simplify right side
    6,695.59x = 23,241,603.75
  5. Step 5: Solve for x
    x = 23,241,603.75/6,695.59
  6. Step 6: Final answer
    x = 3,471.18

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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.