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Finding the Fourth Proportional to 7,714.98, 10,652.70 and 5,919.61

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Solution

The fourth proportional to 7,714.98, 10,652.70 and 5,919.61 is: 8,173.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.98 : 10,652.70 = 5,919.61 : x
  2. Step 2: Convert to fraction form
    7,714.98/10,652.70 = 5,919.61/x
  3. Step 3: Cross multiply
    7,714.98x = 10,652.70 × 5,919.61
  4. Step 4: Simplify right side
    7,714.98x = 63,059,829.45
  5. Step 5: Solve for x
    x = 63,059,829.45/7,714.98
  6. Step 6: Final answer
    x = 8,173.69

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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.