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Finding the Fourth Proportional to 34,794.24, 52,200 and 10,170.24

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Solution

The fourth proportional to 34,794.24, 52,200 and 10,170.24 is: 15,257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,794.24 : 52,200 = 10,170.24 : x
  2. Step 2: Convert to fraction form
    34,794.24/52,200 = 10,170.24/x
  3. Step 3: Cross multiply
    34,794.24x = 52,200 × 10,170.24
  4. Step 4: Simplify right side
    34,794.24x = 530,886,528
  5. Step 5: Solve for x
    x = 530,886,528/34,794.24
  6. Step 6: Final answer
    x = 15,257.89

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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.