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Finding the Fourth Proportional to 8,342.44, 11,509.22 and 4,803.74

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Solution

The fourth proportional to 8,342.44, 11,509.22 and 4,803.74 is: 6,627.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.44 : 11,509.22 = 4,803.74 : x
  2. Step 2: Convert to fraction form
    8,342.44/11,509.22 = 4,803.74/x
  3. Step 3: Cross multiply
    8,342.44x = 11,509.22 × 4,803.74
  4. Step 4: Simplify right side
    8,342.44x = 55,287,300.48
  5. Step 5: Solve for x
    x = 55,287,300.48/8,342.44
  6. Step 6: Final answer
    x = 6,627.23

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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.