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Finding the Fourth Proportional to 9,644.70, 13,311.11 and 6,108.24

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Solution

The fourth proportional to 9,644.70, 13,311.11 and 6,108.24 is: 8,430.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.70 : 13,311.11 = 6,108.24 : x
  2. Step 2: Convert to fraction form
    9,644.70/13,311.11 = 6,108.24/x
  3. Step 3: Cross multiply
    9,644.70x = 13,311.11 × 6,108.24
  4. Step 4: Simplify right side
    9,644.70x = 81,307,424.01
  5. Step 5: Solve for x
    x = 81,307,424.01/9,644.70
  6. Step 6: Final answer
    x = 8,430.27

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Half scale
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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.