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Finding the Fourth Proportional to 6,853.63, 10,231.76 and 6,610.63

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Solution

The fourth proportional to 6,853.63, 10,231.76 and 6,610.63 is: 9,868.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.63 : 10,231.76 = 6,610.63 : x
  2. Step 2: Convert to fraction form
    6,853.63/10,231.76 = 6,610.63/x
  3. Step 3: Cross multiply
    6,853.63x = 10,231.76 × 6,610.63
  4. Step 4: Simplify right side
    6,853.63x = 67,638,379.61
  5. Step 5: Solve for x
    x = 67,638,379.61/6,853.63
  6. Step 6: Final answer
    x = 9,868.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.