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Finding the Fourth Proportional to 8,251.54, 11,386.10 and 4,714.98

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Solution

The fourth proportional to 8,251.54, 11,386.10 and 4,714.98 is: 6,506.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.54 : 11,386.10 = 4,714.98 : x
  2. Step 2: Convert to fraction form
    8,251.54/11,386.10 = 4,714.98/x
  3. Step 3: Cross multiply
    8,251.54x = 11,386.10 × 4,714.98
  4. Step 4: Simplify right side
    8,251.54x = 53,685,233.78
  5. Step 5: Solve for x
    x = 53,685,233.78/8,251.54
  6. Step 6: Final answer
    x = 6,506.09

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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.