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Finding the Fourth Proportional to 7,459.29, 11,188.94 and 3,764.64

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Solution

The fourth proportional to 7,459.29, 11,188.94 and 3,764.64 is: 5,646.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.29 : 11,188.94 = 3,764.64 : x
  2. Step 2: Convert to fraction form
    7,459.29/11,188.94 = 3,764.64/x
  3. Step 3: Cross multiply
    7,459.29x = 11,188.94 × 3,764.64
  4. Step 4: Simplify right side
    7,459.29x = 42,122,354.22
  5. Step 5: Solve for x
    x = 42,122,354.22/7,459.29
  6. Step 6: Final answer
    x = 5,646.97

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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.