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Finding the Fourth Proportional to 4,647.74, 6,971.09 and 1,360.86

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Solution

The fourth proportional to 4,647.74, 6,971.09 and 1,360.86 is: 2,041.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.74 : 6,971.09 = 1,360.86 : x
  2. Step 2: Convert to fraction form
    4,647.74/6,971.09 = 1,360.86/x
  3. Step 3: Cross multiply
    4,647.74x = 6,971.09 × 1,360.86
  4. Step 4: Simplify right side
    4,647.74x = 9,486,680.94
  5. Step 5: Solve for x
    x = 9,486,680.94/4,647.74
  6. Step 6: Final answer
    x = 2,041.14

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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.