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Finding the Fourth Proportional to 8,366.74, 11,541.06 and 5,534.16

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Solution

The fourth proportional to 8,366.74, 11,541.06 and 5,534.16 is: 7,633.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,366.74 : 11,541.06 = 5,534.16 : x
  2. Step 2: Convert to fraction form
    8,366.74/11,541.06 = 5,534.16/x
  3. Step 3: Cross multiply
    8,366.74x = 11,541.06 × 5,534.16
  4. Step 4: Simplify right side
    8,366.74x = 63,870,072.61
  5. Step 5: Solve for x
    x = 63,870,072.61/8,366.74
  6. Step 6: Final answer
    x = 7,633.81

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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.