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Finding the Fourth Proportional to 6,346.70, 9,526.19 and 3,062.10

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Solution

The fourth proportional to 6,346.70, 9,526.19 and 3,062.10 is: 4,596.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.70 : 9,526.19 = 3,062.10 : x
  2. Step 2: Convert to fraction form
    6,346.70/9,526.19 = 3,062.10/x
  3. Step 3: Cross multiply
    6,346.70x = 9,526.19 × 3,062.10
  4. Step 4: Simplify right side
    6,346.70x = 29,170,118.33
  5. Step 5: Solve for x
    x = 29,170,118.33/6,346.70
  6. Step 6: Final answer
    x = 4,596.11

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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.