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Finding the Fourth Proportional to 11,748.70, 16,212.04 and 6,714.15

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Solution

The fourth proportional to 11,748.70, 16,212.04 and 6,714.15 is: 9,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748.70 : 16,212.04 = 6,714.15 : x
  2. Step 2: Convert to fraction form
    11,748.70/16,212.04 = 6,714.15/x
  3. Step 3: Cross multiply
    11,748.70x = 16,212.04 × 6,714.15
  4. Step 4: Simplify right side
    11,748.70x = 108,850,068.37
  5. Step 5: Solve for x
    x = 108,850,068.37/11,748.70
  6. Step 6: Final answer
    x = 9,264.86

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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.