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Finding the Fourth Proportional to 6,266.40, 9,402.84 and 3,345.60

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Solution

The fourth proportional to 6,266.40, 9,402.84 and 3,345.60 is: 5,020.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.40 : 9,402.84 = 3,345.60 : x
  2. Step 2: Convert to fraction form
    6,266.40/9,402.84 = 3,345.60/x
  3. Step 3: Cross multiply
    6,266.40x = 9,402.84 × 3,345.60
  4. Step 4: Simplify right side
    6,266.40x = 31,458,141.50
  5. Step 5: Solve for x
    x = 31,458,141.50/6,266.40
  6. Step 6: Final answer
    x = 5,020.13

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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.