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Finding the Fourth Proportional to 7,714.64, 10,644.36 and 4,570.28

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Solution

The fourth proportional to 7,714.64, 10,644.36 and 4,570.28 is: 6,305.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.64 : 10,644.36 = 4,570.28 : x
  2. Step 2: Convert to fraction form
    7,714.64/10,644.36 = 4,570.28/x
  3. Step 3: Cross multiply
    7,714.64x = 10,644.36 × 4,570.28
  4. Step 4: Simplify right side
    7,714.64x = 48,647,705.62
  5. Step 5: Solve for x
    x = 48,647,705.62/7,714.64
  6. Step 6: Final answer
    x = 6,305.89

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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.