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Finding the Fourth Proportional to 9,714.72, 14,559.60 and 4,166.64

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Solution

The fourth proportional to 9,714.72, 14,559.60 and 4,166.64 is: 6,244.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.72 : 14,559.60 = 4,166.64 : x
  2. Step 2: Convert to fraction form
    9,714.72/14,559.60 = 4,166.64/x
  3. Step 3: Cross multiply
    9,714.72x = 14,559.60 × 4,166.64
  4. Step 4: Simplify right side
    9,714.72x = 60,664,611.74
  5. Step 5: Solve for x
    x = 60,664,611.74/9,714.72
  6. Step 6: Final answer
    x = 6,244.61

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1.5x scale

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.