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Finding the Fourth Proportional to 7,166.64, 10,746.48 and 2,236.32

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Solution

The fourth proportional to 7,166.64, 10,746.48 and 2,236.32 is: 3,353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.64 : 10,746.48 = 2,236.32 : x
  2. Step 2: Convert to fraction form
    7,166.64/10,746.48 = 2,236.32/x
  3. Step 3: Cross multiply
    7,166.64x = 10,746.48 × 2,236.32
  4. Step 4: Simplify right side
    7,166.64x = 24,032,568.15
  5. Step 5: Solve for x
    x = 24,032,568.15/7,166.64
  6. Step 6: Final answer
    x = 3,353.39

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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.