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Finding the Fourth Proportional to 9,652.21, 14,470.11 and 9,192.94

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Solution

The fourth proportional to 9,652.21, 14,470.11 and 9,192.94 is: 13,781.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.21 : 14,470.11 = 9,192.94 : x
  2. Step 2: Convert to fraction form
    9,652.21/14,470.11 = 9,192.94/x
  3. Step 3: Cross multiply
    9,652.21x = 14,470.11 × 9,192.94
  4. Step 4: Simplify right side
    9,652.21x = 133,022,853.02
  5. Step 5: Solve for x
    x = 133,022,853.02/9,652.21
  6. Step 6: Final answer
    x = 13,781.60

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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.