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Finding the Fourth Proportional to 9,832.84, 13,569.96 and 7,450.04

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Solution

The fourth proportional to 9,832.84, 13,569.96 and 7,450.04 is: 10,281.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.84 : 13,569.96 = 7,450.04 : x
  2. Step 2: Convert to fraction form
    9,832.84/13,569.96 = 7,450.04/x
  3. Step 3: Cross multiply
    9,832.84x = 13,569.96 × 7,450.04
  4. Step 4: Simplify right side
    9,832.84x = 101,096,744.80
  5. Step 5: Solve for x
    x = 101,096,744.80/9,832.84
  6. Step 6: Final answer
    x = 10,281.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.