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Finding the Fourth Proportional to 6,700.34, 10,050.30 and 1,770

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Solution

The fourth proportional to 6,700.34, 10,050.30 and 1,770 is: 2,654.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.34 : 10,050.30 = 1,770 : x
  2. Step 2: Convert to fraction form
    6,700.34/10,050.30 = 1,770/x
  3. Step 3: Cross multiply
    6,700.34x = 10,050.30 × 1,770
  4. Step 4: Simplify right side
    6,700.34x = 17,789,031
  5. Step 5: Solve for x
    x = 17,789,031/6,700.34
  6. Step 6: Final answer
    x = 2,654.94

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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.