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Finding the Fourth Proportional to 6,477.75, 9,718.05 and 2,095.16

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Solution

The fourth proportional to 6,477.75, 9,718.05 and 2,095.16 is: 3,143.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.75 : 9,718.05 = 2,095.16 : x
  2. Step 2: Convert to fraction form
    6,477.75/9,718.05 = 2,095.16/x
  3. Step 3: Cross multiply
    6,477.75x = 9,718.05 × 2,095.16
  4. Step 4: Simplify right side
    6,477.75x = 20,360,821.05
  5. Step 5: Solve for x
    x = 20,360,821.05/6,477.75
  6. Step 6: Final answer
    x = 3,143.19

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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.