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Finding the Fourth Proportional to 9,191, 13,774.32 and 3,341.96

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Solution

The fourth proportional to 9,191, 13,774.32 and 3,341.96 is: 5,008.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191 : 13,774.32 = 3,341.96 : x
  2. Step 2: Convert to fraction form
    9,191/13,774.32 = 3,341.96/x
  3. Step 3: Cross multiply
    9,191x = 13,774.32 × 3,341.96
  4. Step 4: Simplify right side
    9,191x = 46,033,226.47
  5. Step 5: Solve for x
    x = 46,033,226.47/9,191
  6. Step 6: Final answer
    x = 5,008.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.