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Finding the Fourth Proportional to 9,596.25, 14,385.89 and 3,748.77

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Solution

The fourth proportional to 9,596.25, 14,385.89 and 3,748.77 is: 5,619.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.25 : 14,385.89 = 3,748.77 : x
  2. Step 2: Convert to fraction form
    9,596.25/14,385.89 = 3,748.77/x
  3. Step 3: Cross multiply
    9,596.25x = 14,385.89 × 3,748.77
  4. Step 4: Simplify right side
    9,596.25x = 53,929,374.11
  5. Step 5: Solve for x
    x = 53,929,374.11/9,596.25
  6. Step 6: Final answer
    x = 5,619.84

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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.