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Finding the Fourth Proportional to 7,706.66, 11,558.01 and 3,026.84

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Solution

The fourth proportional to 7,706.66, 11,558.01 and 3,026.84 is: 4,539.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.66 : 11,558.01 = 3,026.84 : x
  2. Step 2: Convert to fraction form
    7,706.66/11,558.01 = 3,026.84/x
  3. Step 3: Cross multiply
    7,706.66x = 11,558.01 × 3,026.84
  4. Step 4: Simplify right side
    7,706.66x = 34,984,246.99
  5. Step 5: Solve for x
    x = 34,984,246.99/7,706.66
  6. Step 6: Final answer
    x = 4,539.48

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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.