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Finding the Fourth Proportional to 7,034.24, 9,707.24 and 3,847.60

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Solution

The fourth proportional to 7,034.24, 9,707.24 and 3,847.60 is: 5,309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.24 : 9,707.24 = 3,847.60 : x
  2. Step 2: Convert to fraction form
    7,034.24/9,707.24 = 3,847.60/x
  3. Step 3: Cross multiply
    7,034.24x = 9,707.24 × 3,847.60
  4. Step 4: Simplify right side
    7,034.24x = 37,349,598.38
  5. Step 5: Solve for x
    x = 37,349,598.38/7,034.24
  6. Step 6: Final answer
    x = 5,309.68

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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.