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Finding the Fourth Proportional to 9,092.64, 13,640.16 and 3,170.72

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Solution

The fourth proportional to 9,092.64, 13,640.16 and 3,170.72 is: 4,756.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,092.64 : 13,640.16 = 3,170.72 : x
  2. Step 2: Convert to fraction form
    9,092.64/13,640.16 = 3,170.72/x
  3. Step 3: Cross multiply
    9,092.64x = 13,640.16 × 3,170.72
  4. Step 4: Simplify right side
    9,092.64x = 43,249,128.12
  5. Step 5: Solve for x
    x = 43,249,128.12/9,092.64
  6. Step 6: Final answer
    x = 4,756.50

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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.