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Finding the Fourth Proportional to 7,737.50, 11,606.66 and 4,619.00

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Solution

The fourth proportional to 7,737.50, 11,606.66 and 4,619.00 is: 6,928.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.50 : 11,606.66 = 4,619.00 : x
  2. Step 2: Convert to fraction form
    7,737.50/11,606.66 = 4,619.00/x
  3. Step 3: Cross multiply
    7,737.50x = 11,606.66 × 4,619.00
  4. Step 4: Simplify right side
    7,737.50x = 53,611,185.78
  5. Step 5: Solve for x
    x = 53,611,185.78/7,737.50
  6. Step 6: Final answer
    x = 6,928.75

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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.