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Finding the Fourth Proportional to 9,706.99, 14,568.05 and 6,766.15

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Solution

The fourth proportional to 9,706.99, 14,568.05 and 6,766.15 is: 10,154.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.99 : 14,568.05 = 6,766.15 : x
  2. Step 2: Convert to fraction form
    9,706.99/14,568.05 = 6,766.15/x
  3. Step 3: Cross multiply
    9,706.99x = 14,568.05 × 6,766.15
  4. Step 4: Simplify right side
    9,706.99x = 98,569,577.68
  5. Step 5: Solve for x
    x = 98,569,577.68/9,706.99
  6. Step 6: Final answer
    x = 10,154.49

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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.