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Finding the Fourth Proportional to 6,756.66, 10,127.70 and 4,564.80

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Solution

The fourth proportional to 6,756.66, 10,127.70 and 4,564.80 is: 6,842.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,756.66 : 10,127.70 = 4,564.80 : x
  2. Step 2: Convert to fraction form
    6,756.66/10,127.70 = 4,564.80/x
  3. Step 3: Cross multiply
    6,756.66x = 10,127.70 × 4,564.80
  4. Step 4: Simplify right side
    6,756.66x = 46,230,924.96
  5. Step 5: Solve for x
    x = 46,230,924.96/6,756.66
  6. Step 6: Final answer
    x = 6,842.27

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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.