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Finding the Fourth Proportional to 6,029.34, 9,029.34 and 4,175.25

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Solution

The fourth proportional to 6,029.34, 9,029.34 and 4,175.25 is: 6,252.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.34 : 9,029.34 = 4,175.25 : x
  2. Step 2: Convert to fraction form
    6,029.34/9,029.34 = 4,175.25/x
  3. Step 3: Cross multiply
    6,029.34x = 9,029.34 × 4,175.25
  4. Step 4: Simplify right side
    6,029.34x = 37,699,751.84
  5. Step 5: Solve for x
    x = 37,699,751.84/6,029.34
  6. Step 6: Final answer
    x = 6,252.72

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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.