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Finding the Fourth Proportional to 6,591.76, 9,094.38 and 4,703.56

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Solution

The fourth proportional to 6,591.76, 9,094.38 and 4,703.56 is: 6,489.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.76 : 9,094.38 = 4,703.56 : x
  2. Step 2: Convert to fraction form
    6,591.76/9,094.38 = 4,703.56/x
  3. Step 3: Cross multiply
    6,591.76x = 9,094.38 × 4,703.56
  4. Step 4: Simplify right side
    6,591.76x = 42,775,961.99
  5. Step 5: Solve for x
    x = 42,775,961.99/6,591.76
  6. Step 6: Final answer
    x = 6,489.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.