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Finding the Fourth Proportional to 9,251.54, 12,754.32 and 6,262.64

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Solution

The fourth proportional to 9,251.54, 12,754.32 and 6,262.64 is: 8,633.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.54 : 12,754.32 = 6,262.64 : x
  2. Step 2: Convert to fraction form
    9,251.54/12,754.32 = 6,262.64/x
  3. Step 3: Cross multiply
    9,251.54x = 12,754.32 × 6,262.64
  4. Step 4: Simplify right side
    9,251.54x = 79,875,714.60
  5. Step 5: Solve for x
    x = 79,875,714.60/9,251.54
  6. Step 6: Final answer
    x = 8,633.77

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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.