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Finding the Fourth Proportional to 8,254.74, 11,392.47 and 5,736.18

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Solution

The fourth proportional to 8,254.74, 11,392.47 and 5,736.18 is: 7,916.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.74 : 11,392.47 = 5,736.18 : x
  2. Step 2: Convert to fraction form
    8,254.74/11,392.47 = 5,736.18/x
  3. Step 3: Cross multiply
    8,254.74x = 11,392.47 × 5,736.18
  4. Step 4: Simplify right side
    8,254.74x = 65,349,258.56
  5. Step 5: Solve for x
    x = 65,349,258.56/8,254.74
  6. Step 6: Final answer
    x = 7,916.57

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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.