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Finding the Fourth Proportional to 6,715.66, 10,072.68 and 1,785.67

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Solution

The fourth proportional to 6,715.66, 10,072.68 and 1,785.67 is: 2,678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.66 : 10,072.68 = 1,785.67 : x
  2. Step 2: Convert to fraction form
    6,715.66/10,072.68 = 1,785.67/x
  3. Step 3: Cross multiply
    6,715.66x = 10,072.68 × 1,785.67
  4. Step 4: Simplify right side
    6,715.66x = 17,986,482.50
  5. Step 5: Solve for x
    x = 17,986,482.50/6,715.66
  6. Step 6: Final answer
    x = 2,678.29

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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.