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Finding the Fourth Proportional to 9,644.10, 14,447.34 and 6,347.22

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Solution

The fourth proportional to 9,644.10, 14,447.34 and 6,347.22 is: 9,508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.10 : 14,447.34 = 6,347.22 : x
  2. Step 2: Convert to fraction form
    9,644.10/14,447.34 = 6,347.22/x
  3. Step 3: Cross multiply
    9,644.10x = 14,447.34 × 6,347.22
  4. Step 4: Simplify right side
    9,644.10x = 91,700,445.39
  5. Step 5: Solve for x
    x = 91,700,445.39/9,644.10
  6. Step 6: Final answer
    x = 9,508.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.