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Finding the Fourth Proportional to 6,541.07, 9,026.92 and 3,708.41

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Solution

The fourth proportional to 6,541.07, 9,026.92 and 3,708.41 is: 5,117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.07 : 9,026.92 = 3,708.41 : x
  2. Step 2: Convert to fraction form
    6,541.07/9,026.92 = 3,708.41/x
  3. Step 3: Cross multiply
    6,541.07x = 9,026.92 × 3,708.41
  4. Step 4: Simplify right side
    6,541.07x = 33,475,494.86
  5. Step 5: Solve for x
    x = 33,475,494.86/6,541.07
  6. Step 6: Final answer
    x = 5,117.74

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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.