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Finding the Fourth Proportional to 7,208.28, 9,946.10 and 4,224.16

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Solution

The fourth proportional to 7,208.28, 9,946.10 and 4,224.16 is: 5,828.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.28 : 9,946.10 = 4,224.16 : x
  2. Step 2: Convert to fraction form
    7,208.28/9,946.10 = 4,224.16/x
  3. Step 3: Cross multiply
    7,208.28x = 9,946.10 × 4,224.16
  4. Step 4: Simplify right side
    7,208.28x = 42,013,917.78
  5. Step 5: Solve for x
    x = 42,013,917.78/7,208.28
  6. Step 6: Final answer
    x = 5,828.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.