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Finding the Fourth Proportional to 8,315.84, 11,396.46 and 8,035.17

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Solution

The fourth proportional to 8,315.84, 11,396.46 and 8,035.17 is: 11,011.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.84 : 11,396.46 = 8,035.17 : x
  2. Step 2: Convert to fraction form
    8,315.84/11,396.46 = 8,035.17/x
  3. Step 3: Cross multiply
    8,315.84x = 11,396.46 × 8,035.17
  4. Step 4: Simplify right side
    8,315.84x = 91,572,493.50
  5. Step 5: Solve for x
    x = 91,572,493.50/8,315.84
  6. Step 6: Final answer
    x = 11,011.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.