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Finding the Fourth Proportional to 9,644.10, 14,473.17 and 6,364.14

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Solution

The fourth proportional to 9,644.10, 14,473.17 and 6,364.14 is: 9,550.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.10 : 14,473.17 = 6,364.14 : x
  2. Step 2: Convert to fraction form
    9,644.10/14,473.17 = 6,364.14/x
  3. Step 3: Cross multiply
    9,644.10x = 14,473.17 × 6,364.14
  4. Step 4: Simplify right side
    9,644.10x = 92,109,280.12
  5. Step 5: Solve for x
    x = 92,109,280.12/9,644.10
  6. Step 6: Final answer
    x = 9,550.84

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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.