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Finding the Fourth Proportional to 12,714.96, 19,020.56 and 10,252.56

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Solution

The fourth proportional to 12,714.96, 19,020.56 and 10,252.56 is: 15,337.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.96 : 19,020.56 = 10,252.56 : x
  2. Step 2: Convert to fraction form
    12,714.96/19,020.56 = 10,252.56/x
  3. Step 3: Cross multiply
    12,714.96x = 19,020.56 × 10,252.56
  4. Step 4: Simplify right side
    12,714.96x = 195,009,432.63
  5. Step 5: Solve for x
    x = 195,009,432.63/12,714.96
  6. Step 6: Final answer
    x = 15,337.01

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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.