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Finding the Fourth Proportional to 7,199.34, 9,935.23 and 4,012.83

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Solution

The fourth proportional to 7,199.34, 9,935.23 and 4,012.83 is: 5,537.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,199.34 : 9,935.23 = 4,012.83 : x
  2. Step 2: Convert to fraction form
    7,199.34/9,935.23 = 4,012.83/x
  3. Step 3: Cross multiply
    7,199.34x = 9,935.23 × 4,012.83
  4. Step 4: Simplify right side
    7,199.34x = 39,868,389.00
  5. Step 5: Solve for x
    x = 39,868,389.00/7,199.34
  6. Step 6: Final answer
    x = 5,537.78

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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.