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Finding the Fourth Proportional to 10,643.86, 15,956.07 and 3,714.58

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Solution

The fourth proportional to 10,643.86, 15,956.07 and 3,714.58 is: 5,568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.86 : 15,956.07 = 3,714.58 : x
  2. Step 2: Convert to fraction form
    10,643.86/15,956.07 = 3,714.58/x
  3. Step 3: Cross multiply
    10,643.86x = 15,956.07 × 3,714.58
  4. Step 4: Simplify right side
    10,643.86x = 59,270,098.50
  5. Step 5: Solve for x
    x = 59,270,098.50/10,643.86
  6. Step 6: Final answer
    x = 5,568.48

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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.