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Finding the Fourth Proportional to 5,693.44, 7,861.44 and 4,656.64

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Solution

The fourth proportional to 5,693.44, 7,861.44 and 4,656.64 is: 6,429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.44 : 7,861.44 = 4,656.64 : x
  2. Step 2: Convert to fraction form
    5,693.44/7,861.44 = 4,656.64/x
  3. Step 3: Cross multiply
    5,693.44x = 7,861.44 × 4,656.64
  4. Step 4: Simplify right side
    5,693.44x = 36,607,895.96
  5. Step 5: Solve for x
    x = 36,607,895.96/5,693.44
  6. Step 6: Final answer
    x = 6,429.84

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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.