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Finding the Fourth Proportional to 4,736.08, 7,102.14 and 2,270.32

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Solution

The fourth proportional to 4,736.08, 7,102.14 and 2,270.32 is: 3,404.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.08 : 7,102.14 = 2,270.32 : x
  2. Step 2: Convert to fraction form
    4,736.08/7,102.14 = 2,270.32/x
  3. Step 3: Cross multiply
    4,736.08x = 7,102.14 × 2,270.32
  4. Step 4: Simplify right side
    4,736.08x = 16,124,130.48
  5. Step 5: Solve for x
    x = 16,124,130.48/4,736.08
  6. Step 6: Final answer
    x = 3,404.53

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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.