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Finding the Fourth Proportional to 9,438, 13,024.44 and 5,246.34

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Solution

The fourth proportional to 9,438, 13,024.44 and 5,246.34 is: 7,239.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438 : 13,024.44 = 5,246.34 : x
  2. Step 2: Convert to fraction form
    9,438/13,024.44 = 5,246.34/x
  3. Step 3: Cross multiply
    9,438x = 13,024.44 × 5,246.34
  4. Step 4: Simplify right side
    9,438x = 68,330,640.55
  5. Step 5: Solve for x
    x = 68,330,640.55/9,438
  6. Step 6: Final answer
    x = 7,239.95

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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.