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Finding the Fourth Proportional to 6,715.76, 10,072.50 and 1,784.99

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Solution

The fourth proportional to 6,715.76, 10,072.50 and 1,784.99 is: 2,677.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.76 : 10,072.50 = 1,784.99 : x
  2. Step 2: Convert to fraction form
    6,715.76/10,072.50 = 1,784.99/x
  3. Step 3: Cross multiply
    6,715.76x = 10,072.50 × 1,784.99
  4. Step 4: Simplify right side
    6,715.76x = 17,979,283.65
  5. Step 5: Solve for x
    x = 17,979,283.65/6,715.76
  6. Step 6: Final answer
    x = 2,677.18

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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.