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Finding the Fourth Proportional to 7,207.08, 9,946.80 and 5,224.20

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Solution

The fourth proportional to 7,207.08, 9,946.80 and 5,224.20 is: 7,210.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207.08 : 9,946.80 = 5,224.20 : x
  2. Step 2: Convert to fraction form
    7,207.08/9,946.80 = 5,224.20/x
  3. Step 3: Cross multiply
    7,207.08x = 9,946.80 × 5,224.20
  4. Step 4: Simplify right side
    7,207.08x = 51,964,072.56
  5. Step 5: Solve for x
    x = 51,964,072.56/7,207.08
  6. Step 6: Final answer
    x = 7,210.14

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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.