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Finding the Fourth Proportional to 9,759.77, 14,639.69 and 2,364.22

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Solution

The fourth proportional to 9,759.77, 14,639.69 and 2,364.22 is: 3,546.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.77 : 14,639.69 = 2,364.22 : x
  2. Step 2: Convert to fraction form
    9,759.77/14,639.69 = 2,364.22/x
  3. Step 3: Cross multiply
    9,759.77x = 14,639.69 × 2,364.22
  4. Step 4: Simplify right side
    9,759.77x = 34,611,447.89
  5. Step 5: Solve for x
    x = 34,611,447.89/9,759.77
  6. Step 6: Final answer
    x = 3,546.34

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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.