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Finding the Fourth Proportional to 6,998.61, 9,647.10 and 4,756.53

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Solution

The fourth proportional to 6,998.61, 9,647.10 and 4,756.53 is: 6,556.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.61 : 9,647.10 = 4,756.53 : x
  2. Step 2: Convert to fraction form
    6,998.61/9,647.10 = 4,756.53/x
  3. Step 3: Cross multiply
    6,998.61x = 9,647.10 × 4,756.53
  4. Step 4: Simplify right side
    6,998.61x = 45,886,720.56
  5. Step 5: Solve for x
    x = 45,886,720.56/6,998.61
  6. Step 6: Final answer
    x = 6,556.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.