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Finding the Fourth Proportional to 7,695.87, 11,543.81 and 1,852.48

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Solution

The fourth proportional to 7,695.87, 11,543.81 and 1,852.48 is: 2,778.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.87 : 11,543.81 = 1,852.48 : x
  2. Step 2: Convert to fraction form
    7,695.87/11,543.81 = 1,852.48/x
  3. Step 3: Cross multiply
    7,695.87x = 11,543.81 × 1,852.48
  4. Step 4: Simplify right side
    7,695.87x = 21,384,687.53
  5. Step 5: Solve for x
    x = 21,384,687.53/7,695.87
  6. Step 6: Final answer
    x = 2,778.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.