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Finding the Fourth Proportional to 7,093.91, 9,790.44 and 4,070.12

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Solution

The fourth proportional to 7,093.91, 9,790.44 and 4,070.12 is: 5,617.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.91 : 9,790.44 = 4,070.12 : x
  2. Step 2: Convert to fraction form
    7,093.91/9,790.44 = 4,070.12/x
  3. Step 3: Cross multiply
    7,093.91x = 9,790.44 × 4,070.12
  4. Step 4: Simplify right side
    7,093.91x = 39,848,265.65
  5. Step 5: Solve for x
    x = 39,848,265.65/7,093.91
  6. Step 6: Final answer
    x = 5,617.25

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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.