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Finding the Fourth Proportional to 6,703.66, 10,056.00 and 1,773.17

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Solution

The fourth proportional to 6,703.66, 10,056.00 and 1,773.17 is: 2,659.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.66 : 10,056.00 = 1,773.17 : x
  2. Step 2: Convert to fraction form
    6,703.66/10,056.00 = 1,773.17/x
  3. Step 3: Cross multiply
    6,703.66x = 10,056.00 × 1,773.17
  4. Step 4: Simplify right side
    6,703.66x = 17,830,938.37
  5. Step 5: Solve for x
    x = 17,830,938.37/6,703.66
  6. Step 6: Final answer
    x = 2,659.88

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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.