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Finding the Fourth Proportional to 9,496, 13,104.48 and 5,305.12

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Solution

The fourth proportional to 9,496, 13,104.48 and 5,305.12 is: 7,321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496 : 13,104.48 = 5,305.12 : x
  2. Step 2: Convert to fraction form
    9,496/13,104.48 = 5,305.12/x
  3. Step 3: Cross multiply
    9,496x = 13,104.48 × 5,305.12
  4. Step 4: Simplify right side
    9,496x = 69,520,838.94
  5. Step 5: Solve for x
    x = 69,520,838.94/9,496
  6. Step 6: Final answer
    x = 7,321.07

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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.