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Finding the Fourth Proportional to 9,902.84, 14,832.88 and 9,321.24

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Solution

The fourth proportional to 9,902.84, 14,832.88 and 9,321.24 is: 13,961.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.84 : 14,832.88 = 9,321.24 : x
  2. Step 2: Convert to fraction form
    9,902.84/14,832.88 = 9,321.24/x
  3. Step 3: Cross multiply
    9,902.84x = 14,832.88 × 9,321.24
  4. Step 4: Simplify right side
    9,902.84x = 138,260,834.37
  5. Step 5: Solve for x
    x = 138,260,834.37/9,902.84
  6. Step 6: Final answer
    x = 13,961.74

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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.