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Finding the Fourth Proportional to 4,602.06, 6,903.09 and 2,006.82

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Solution

The fourth proportional to 4,602.06, 6,903.09 and 2,006.82 is: 3,010.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.06 : 6,903.09 = 2,006.82 : x
  2. Step 2: Convert to fraction form
    4,602.06/6,903.09 = 2,006.82/x
  3. Step 3: Cross multiply
    4,602.06x = 6,903.09 × 2,006.82
  4. Step 4: Simplify right side
    4,602.06x = 13,853,259.07
  5. Step 5: Solve for x
    x = 13,853,259.07/4,602.06
  6. Step 6: Final answer
    x = 3,010.23

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Similar ratio
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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.