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Finding the Fourth Proportional to 9,706.77, 14,539.99 and 6,179.33

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Solution

The fourth proportional to 9,706.77, 14,539.99 and 6,179.33 is: 9,256.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.77 : 14,539.99 = 6,179.33 : x
  2. Step 2: Convert to fraction form
    9,706.77/14,539.99 = 6,179.33/x
  3. Step 3: Cross multiply
    9,706.77x = 14,539.99 × 6,179.33
  4. Step 4: Simplify right side
    9,706.77x = 89,847,396.41
  5. Step 5: Solve for x
    x = 89,847,396.41/9,706.77
  6. Step 6: Final answer
    x = 9,256.16

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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.