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Finding the Fourth Proportional to 6,047.46, 9,069.27 and 1,942.50

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Solution

The fourth proportional to 6,047.46, 9,069.27 and 1,942.50 is: 2,913.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.46 : 9,069.27 = 1,942.50 : x
  2. Step 2: Convert to fraction form
    6,047.46/9,069.27 = 1,942.50/x
  3. Step 3: Cross multiply
    6,047.46x = 9,069.27 × 1,942.50
  4. Step 4: Simplify right side
    6,047.46x = 17,617,056.98
  5. Step 5: Solve for x
    x = 17,617,056.98/6,047.46
  6. Step 6: Final answer
    x = 2,913.13

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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.