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Finding the Fourth Proportional to 6,230.64, 9,354.10 and 5,714.84

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Solution

The fourth proportional to 6,230.64, 9,354.10 and 5,714.84 is: 8,579.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,230.64 : 9,354.10 = 5,714.84 : x
  2. Step 2: Convert to fraction form
    6,230.64/9,354.10 = 5,714.84/x
  3. Step 3: Cross multiply
    6,230.64x = 9,354.10 × 5,714.84
  4. Step 4: Simplify right side
    6,230.64x = 53,457,184.84
  5. Step 5: Solve for x
    x = 53,457,184.84/6,230.64
  6. Step 6: Final answer
    x = 8,579.73

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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.