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Finding the Fourth Proportional to 6,174.84, 9,244.02 and 5,828.58

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Solution

The fourth proportional to 6,174.84, 9,244.02 and 5,828.58 is: 8,725.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.84 : 9,244.02 = 5,828.58 : x
  2. Step 2: Convert to fraction form
    6,174.84/9,244.02 = 5,828.58/x
  3. Step 3: Cross multiply
    6,174.84x = 9,244.02 × 5,828.58
  4. Step 4: Simplify right side
    6,174.84x = 53,879,510.09
  5. Step 5: Solve for x
    x = 53,879,510.09/6,174.84
  6. Step 6: Final answer
    x = 8,725.65

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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.