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Finding the Fourth Proportional to 9,277.54, 13,833.54 and 8,247.22

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Solution

The fourth proportional to 9,277.54, 13,833.54 and 8,247.22 is: 12,297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.54 : 13,833.54 = 8,247.22 : x
  2. Step 2: Convert to fraction form
    9,277.54/13,833.54 = 8,247.22/x
  3. Step 3: Cross multiply
    9,277.54x = 13,833.54 × 8,247.22
  4. Step 4: Simplify right side
    9,277.54x = 114,088,247.76
  5. Step 5: Solve for x
    x = 114,088,247.76/9,277.54
  6. Step 6: Final answer
    x = 12,297.25

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.