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Finding the Fourth Proportional to 9,832.68, 14,732.82 and 8,816.40

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Solution

The fourth proportional to 9,832.68, 14,732.82 and 8,816.40 is: 13,210.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.68 : 14,732.82 = 8,816.40 : x
  2. Step 2: Convert to fraction form
    9,832.68/14,732.82 = 8,816.40/x
  3. Step 3: Cross multiply
    9,832.68x = 14,732.82 × 8,816.40
  4. Step 4: Simplify right side
    9,832.68x = 129,890,434.25
  5. Step 5: Solve for x
    x = 129,890,434.25/9,832.68
  6. Step 6: Final answer
    x = 13,210.07

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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.