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Finding the Fourth Proportional to 9,905.06, 14,863.26 and 7,278.23

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Solution

The fourth proportional to 9,905.06, 14,863.26 and 7,278.23 is: 10,921.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.06 : 14,863.26 = 7,278.23 : x
  2. Step 2: Convert to fraction form
    9,905.06/14,863.26 = 7,278.23/x
  3. Step 3: Cross multiply
    9,905.06x = 14,863.26 × 7,278.23
  4. Step 4: Simplify right side
    9,905.06x = 108,178,224.83
  5. Step 5: Solve for x
    x = 108,178,224.83/9,905.06
  6. Step 6: Final answer
    x = 10,921.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.