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Finding the Fourth Proportional to 7,615.92, 10,509.24 and 4,471.56

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Solution

The fourth proportional to 7,615.92, 10,509.24 and 4,471.56 is: 6,170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.92 : 10,509.24 = 4,471.56 : x
  2. Step 2: Convert to fraction form
    7,615.92/10,509.24 = 4,471.56/x
  3. Step 3: Cross multiply
    7,615.92x = 10,509.24 × 4,471.56
  4. Step 4: Simplify right side
    7,615.92x = 46,992,697.21
  5. Step 5: Solve for x
    x = 46,992,697.21/7,615.92
  6. Step 6: Final answer
    x = 6,170.32

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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.