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Finding the Fourth Proportional to 7,857.29, 10,835.02 and 5,203.73

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Solution

The fourth proportional to 7,857.29, 10,835.02 and 5,203.73 is: 7,175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.29 : 10,835.02 = 5,203.73 : x
  2. Step 2: Convert to fraction form
    7,857.29/10,835.02 = 5,203.73/x
  3. Step 3: Cross multiply
    7,857.29x = 10,835.02 × 5,203.73
  4. Step 4: Simplify right side
    7,857.29x = 56,382,518.62
  5. Step 5: Solve for x
    x = 56,382,518.62/7,857.29
  6. Step 6: Final answer
    x = 7,175.82

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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.