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Finding the Fourth Proportional to 9,644.88, 13,310.19 and 5,395.80

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Solution

The fourth proportional to 9,644.88, 13,310.19 and 5,395.80 is: 7,446.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.88 : 13,310.19 = 5,395.80 : x
  2. Step 2: Convert to fraction form
    9,644.88/13,310.19 = 5,395.80/x
  3. Step 3: Cross multiply
    9,644.88x = 13,310.19 × 5,395.80
  4. Step 4: Simplify right side
    9,644.88x = 71,819,123.20
  5. Step 5: Solve for x
    x = 71,819,123.20/9,644.88
  6. Step 6: Final answer
    x = 7,446.35

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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.