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Finding the Fourth Proportional to 6,347.07, 9,526.76 and 3,062.48

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Solution

The fourth proportional to 6,347.07, 9,526.76 and 3,062.48 is: 4,596.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.07 : 9,526.76 = 3,062.48 : x
  2. Step 2: Convert to fraction form
    6,347.07/9,526.76 = 3,062.48/x
  3. Step 3: Cross multiply
    6,347.07x = 9,526.76 × 3,062.48
  4. Step 4: Simplify right side
    6,347.07x = 29,175,460.50
  5. Step 5: Solve for x
    x = 29,175,460.50/6,347.07
  6. Step 6: Final answer
    x = 4,596.68

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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.