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Finding the Fourth Proportional to 7,852.17, 11,727.15 and 7,035.69

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Solution

The fourth proportional to 7,852.17, 11,727.15 and 7,035.69 is: 10,507.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.17 : 11,727.15 = 7,035.69 : x
  2. Step 2: Convert to fraction form
    7,852.17/11,727.15 = 7,035.69/x
  3. Step 3: Cross multiply
    7,852.17x = 11,727.15 × 7,035.69
  4. Step 4: Simplify right side
    7,852.17x = 82,508,591.98
  5. Step 5: Solve for x
    x = 82,508,591.98/7,852.17
  6. Step 6: Final answer
    x = 10,507.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.