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Finding the Fourth Proportional to 6,707.50, 10,061.46 and 1,777.60

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Solution

The fourth proportional to 6,707.50, 10,061.46 and 1,777.60 is: 2,666.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.50 : 10,061.46 = 1,777.60 : x
  2. Step 2: Convert to fraction form
    6,707.50/10,061.46 = 1,777.60/x
  3. Step 3: Cross multiply
    6,707.50x = 10,061.46 × 1,777.60
  4. Step 4: Simplify right side
    6,707.50x = 17,885,251.30
  5. Step 5: Solve for x
    x = 17,885,251.30/6,707.50
  6. Step 6: Final answer
    x = 2,666.46

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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.