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Finding the Fourth Proportional to 12,714.84, 18,970.47 and 11,068.92

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Solution

The fourth proportional to 12,714.84, 18,970.47 and 11,068.92 is: 16,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.84 : 18,970.47 = 11,068.92 : x
  2. Step 2: Convert to fraction form
    12,714.84/18,970.47 = 11,068.92/x
  3. Step 3: Cross multiply
    12,714.84x = 18,970.47 × 11,068.92
  4. Step 4: Simplify right side
    12,714.84x = 209,982,614.79
  5. Step 5: Solve for x
    x = 209,982,614.79/12,714.84
  6. Step 6: Final answer
    x = 16,514.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.