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Finding the Fourth Proportional to 7,096.57, 9,792.80 and 4,262.26

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Solution

The fourth proportional to 7,096.57, 9,792.80 and 4,262.26 is: 5,881.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.57 : 9,792.80 = 4,262.26 : x
  2. Step 2: Convert to fraction form
    7,096.57/9,792.80 = 4,262.26/x
  3. Step 3: Cross multiply
    7,096.57x = 9,792.80 × 4,262.26
  4. Step 4: Simplify right side
    7,096.57x = 41,739,421.02
  5. Step 5: Solve for x
    x = 41,739,421.02/7,096.57
  6. Step 6: Final answer
    x = 5,881.63

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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.