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Finding the Fourth Proportional to 7,584.88, 11,344.44 and 4,457.44

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Solution

The fourth proportional to 7,584.88, 11,344.44 and 4,457.44 is: 6,666.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584.88 : 11,344.44 = 4,457.44 : x
  2. Step 2: Convert to fraction form
    7,584.88/11,344.44 = 4,457.44/x
  3. Step 3: Cross multiply
    7,584.88x = 11,344.44 × 4,457.44
  4. Step 4: Simplify right side
    7,584.88x = 50,567,160.63
  5. Step 5: Solve for x
    x = 50,567,160.63/7,584.88
  6. Step 6: Final answer
    x = 6,666.84

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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.