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Finding the Fourth Proportional to 9,906.87, 14,862.93 and 4,361.46

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Solution

The fourth proportional to 9,906.87, 14,862.93 and 4,361.46 is: 6,543.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.87 : 14,862.93 = 4,361.46 : x
  2. Step 2: Convert to fraction form
    9,906.87/14,862.93 = 4,361.46/x
  3. Step 3: Cross multiply
    9,906.87x = 14,862.93 × 4,361.46
  4. Step 4: Simplify right side
    9,906.87x = 64,824,074.68
  5. Step 5: Solve for x
    x = 64,824,074.68/9,906.87
  6. Step 6: Final answer
    x = 6,543.35

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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.