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Finding the Fourth Proportional to 6,710.89, 9,259.62 and 4,057.78

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Solution

The fourth proportional to 6,710.89, 9,259.62 and 4,057.78 is: 5,598.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.89 : 9,259.62 = 4,057.78 : x
  2. Step 2: Convert to fraction form
    6,710.89/9,259.62 = 4,057.78/x
  3. Step 3: Cross multiply
    6,710.89x = 9,259.62 × 4,057.78
  4. Step 4: Simplify right side
    6,710.89x = 37,573,500.84
  5. Step 5: Solve for x
    x = 37,573,500.84/6,710.89
  6. Step 6: Final answer
    x = 5,598.88

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1.5x scale

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.