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Finding the Fourth Proportional to 9,710.70, 13,393.67 and 6,348.12

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Solution

The fourth proportional to 9,710.70, 13,393.67 and 6,348.12 is: 8,755.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.70 : 13,393.67 = 6,348.12 : x
  2. Step 2: Convert to fraction form
    9,710.70/13,393.67 = 6,348.12/x
  3. Step 3: Cross multiply
    9,710.70x = 13,393.67 × 6,348.12
  4. Step 4: Simplify right side
    9,710.70x = 85,024,592.66
  5. Step 5: Solve for x
    x = 85,024,592.66/9,710.70
  6. Step 6: Final answer
    x = 8,755.76

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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.