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Finding the Fourth Proportional to 8,478.64, 12,714.84 and 2,930.56

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Solution

The fourth proportional to 8,478.64, 12,714.84 and 2,930.56 is: 4,394.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.64 : 12,714.84 = 2,930.56 : x
  2. Step 2: Convert to fraction form
    8,478.64/12,714.84 = 2,930.56/x
  3. Step 3: Cross multiply
    8,478.64x = 12,714.84 × 2,930.56
  4. Step 4: Simplify right side
    8,478.64x = 37,261,601.51
  5. Step 5: Solve for x
    x = 37,261,601.51/8,478.64
  6. Step 6: Final answer
    x = 4,394.76

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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.