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Finding the Fourth Proportional to 6,808.74, 10,206 and 4,617.60

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Solution

The fourth proportional to 6,808.74, 10,206 and 4,617.60 is: 6,921.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.74 : 10,206 = 4,617.60 : x
  2. Step 2: Convert to fraction form
    6,808.74/10,206 = 4,617.60/x
  3. Step 3: Cross multiply
    6,808.74x = 10,206 × 4,617.60
  4. Step 4: Simplify right side
    6,808.74x = 47,127,225.60
  5. Step 5: Solve for x
    x = 47,127,225.60/6,808.74
  6. Step 6: Final answer
    x = 6,921.58

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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.