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Finding the Fourth Proportional to 6,740.00, 9,302.10 and 4,857.82

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Solution

The fourth proportional to 6,740.00, 9,302.10 and 4,857.82 is: 6,704.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740.00 : 9,302.10 = 4,857.82 : x
  2. Step 2: Convert to fraction form
    6,740.00/9,302.10 = 4,857.82/x
  3. Step 3: Cross multiply
    6,740.00x = 9,302.10 × 4,857.82
  4. Step 4: Simplify right side
    6,740.00x = 45,187,882.83
  5. Step 5: Solve for x
    x = 45,187,882.83/6,740.00
  6. Step 6: Final answer
    x = 6,704.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.