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Finding the Fourth Proportional to 13,714.52, 18,924.98 and 7,746.71

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Solution

The fourth proportional to 13,714.52, 18,924.98 and 7,746.71 is: 10,689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.52 : 18,924.98 = 7,746.71 : x
  2. Step 2: Convert to fraction form
    13,714.52/18,924.98 = 7,746.71/x
  3. Step 3: Cross multiply
    13,714.52x = 18,924.98 × 7,746.71
  4. Step 4: Simplify right side
    13,714.52x = 146,606,198.46
  5. Step 5: Solve for x
    x = 146,606,198.46/13,714.52
  6. Step 6: Final answer
    x = 10,689.86

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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.