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Finding the Fourth Proportional to 9,464.47, 13,048.84 and 7,756.69

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Solution

The fourth proportional to 9,464.47, 13,048.84 and 7,756.69 is: 10,694.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.47 : 13,048.84 = 7,756.69 : x
  2. Step 2: Convert to fraction form
    9,464.47/13,048.84 = 7,756.69/x
  3. Step 3: Cross multiply
    9,464.47x = 13,048.84 × 7,756.69
  4. Step 4: Simplify right side
    9,464.47x = 101,215,745.03
  5. Step 5: Solve for x
    x = 101,215,745.03/9,464.47
  6. Step 6: Final answer
    x = 10,694.29

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Half scale
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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.