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Finding the Fourth Proportional to 7,760.75, 10,709.84 and 4,448.75

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Solution

The fourth proportional to 7,760.75, 10,709.84 and 4,448.75 is: 6,139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.75 : 10,709.84 = 4,448.75 : x
  2. Step 2: Convert to fraction form
    7,760.75/10,709.84 = 4,448.75/x
  3. Step 3: Cross multiply
    7,760.75x = 10,709.84 × 4,448.75
  4. Step 4: Simplify right side
    7,760.75x = 47,645,378.46
  5. Step 5: Solve for x
    x = 47,645,378.46/7,760.75
  6. Step 6: Final answer
    x = 6,139.28

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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.