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Finding the Fourth Proportional to 7,193.49, 9,927 and 4,049.67

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Solution

The fourth proportional to 7,193.49, 9,927 and 4,049.67 is: 5,588.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.49 : 9,927 = 4,049.67 : x
  2. Step 2: Convert to fraction form
    7,193.49/9,927 = 4,049.67/x
  3. Step 3: Cross multiply
    7,193.49x = 9,927 × 4,049.67
  4. Step 4: Simplify right side
    7,193.49x = 40,201,074.09
  5. Step 5: Solve for x
    x = 40,201,074.09/7,193.49
  6. Step 6: Final answer
    x = 5,588.54

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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.