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Finding the Fourth Proportional to 6,602.40, 9,897.44 and 3,311.64

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Solution

The fourth proportional to 6,602.40, 9,897.44 and 3,311.64 is: 4,964.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.40 : 9,897.44 = 3,311.64 : x
  2. Step 2: Convert to fraction form
    6,602.40/9,897.44 = 3,311.64/x
  3. Step 3: Cross multiply
    6,602.40x = 9,897.44 × 3,311.64
  4. Step 4: Simplify right side
    6,602.40x = 32,776,741.64
  5. Step 5: Solve for x
    x = 32,776,741.64/6,602.40
  6. Step 6: Final answer
    x = 4,964.37

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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.