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Finding the Fourth Proportional to 9,953.78, 13,732.08 and 6,175.67

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Solution

The fourth proportional to 9,953.78, 13,732.08 and 6,175.67 is: 8,519.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.78 : 13,732.08 = 6,175.67 : x
  2. Step 2: Convert to fraction form
    9,953.78/13,732.08 = 6,175.67/x
  3. Step 3: Cross multiply
    9,953.78x = 13,732.08 × 6,175.67
  4. Step 4: Simplify right side
    9,953.78x = 84,804,794.49
  5. Step 5: Solve for x
    x = 84,804,794.49/9,953.78
  6. Step 6: Final answer
    x = 8,519.86

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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.