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Finding the Fourth Proportional to 4,728.24, 7,092.16 and 1,954.16

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Solution

The fourth proportional to 4,728.24, 7,092.16 and 1,954.16 is: 2,931.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.24 : 7,092.16 = 1,954.16 : x
  2. Step 2: Convert to fraction form
    4,728.24/7,092.16 = 1,954.16/x
  3. Step 3: Cross multiply
    4,728.24x = 7,092.16 × 1,954.16
  4. Step 4: Simplify right side
    4,728.24x = 13,859,215.39
  5. Step 5: Solve for x
    x = 13,859,215.39/4,728.24
  6. Step 6: Final answer
    x = 2,931.16

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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.