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Finding the Fourth Proportional to 7,171.02, 9,895.10 and 4,184.69

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Solution

The fourth proportional to 7,171.02, 9,895.10 and 4,184.69 is: 5,774.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.02 : 9,895.10 = 4,184.69 : x
  2. Step 2: Convert to fraction form
    7,171.02/9,895.10 = 4,184.69/x
  3. Step 3: Cross multiply
    7,171.02x = 9,895.10 × 4,184.69
  4. Step 4: Simplify right side
    7,171.02x = 41,407,855.62
  5. Step 5: Solve for x
    x = 41,407,855.62/7,171.02
  6. Step 6: Final answer
    x = 5,774.33

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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.