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Finding the Fourth Proportional to 3,109.07, 4,663 and 917.21

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Solution

The fourth proportional to 3,109.07, 4,663 and 917.21 is: 1,375.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.07 : 4,663 = 917.21 : x
  2. Step 2: Convert to fraction form
    3,109.07/4,663 = 917.21/x
  3. Step 3: Cross multiply
    3,109.07x = 4,663 × 917.21
  4. Step 4: Simplify right side
    3,109.07x = 4,276,961.89
  5. Step 5: Solve for x
    x = 4,276,961.89/3,109.07
  6. Step 6: Final answer
    x = 1,375.64

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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.