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Finding the Fourth Proportional to 7,207.67, 9,946.08 and 5,719.14

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Solution

The fourth proportional to 7,207.67, 9,946.08 and 5,719.14 is: 7,892.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207.67 : 9,946.08 = 5,719.14 : x
  2. Step 2: Convert to fraction form
    7,207.67/9,946.08 = 5,719.14/x
  3. Step 3: Cross multiply
    7,207.67x = 9,946.08 × 5,719.14
  4. Step 4: Simplify right side
    7,207.67x = 56,883,023.97
  5. Step 5: Solve for x
    x = 56,883,023.97/7,207.67
  6. Step 6: Final answer
    x = 7,892.02

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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.