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Finding the Fourth Proportional to 6,402.02, 9,602.96 and 1,722.44

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Solution

The fourth proportional to 6,402.02, 9,602.96 and 1,722.44 is: 2,583.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.02 : 9,602.96 = 1,722.44 : x
  2. Step 2: Convert to fraction form
    6,402.02/9,602.96 = 1,722.44/x
  3. Step 3: Cross multiply
    6,402.02x = 9,602.96 × 1,722.44
  4. Step 4: Simplify right side
    6,402.02x = 16,540,537.82
  5. Step 5: Solve for x
    x = 16,540,537.82/6,402.02
  6. Step 6: Final answer
    x = 2,583.65

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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.