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Finding the Fourth Proportional to 4,659.98, 6,990.42 and 1,699.22

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Solution

The fourth proportional to 4,659.98, 6,990.42 and 1,699.22 is: 2,548.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.98 : 6,990.42 = 1,699.22 : x
  2. Step 2: Convert to fraction form
    4,659.98/6,990.42 = 1,699.22/x
  3. Step 3: Cross multiply
    4,659.98x = 6,990.42 × 1,699.22
  4. Step 4: Simplify right side
    4,659.98x = 11,878,261.47
  5. Step 5: Solve for x
    x = 11,878,261.47/4,659.98
  6. Step 6: Final answer
    x = 2,548.99

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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.