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Finding the Fourth Proportional to 6,476.79, 9,715.19 and 2,583.93

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Solution

The fourth proportional to 6,476.79, 9,715.19 and 2,583.93 is: 3,875.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.79 : 9,715.19 = 2,583.93 : x
  2. Step 2: Convert to fraction form
    6,476.79/9,715.19 = 2,583.93/x
  3. Step 3: Cross multiply
    6,476.79x = 9,715.19 × 2,583.93
  4. Step 4: Simplify right side
    6,476.79x = 25,103,367.67
  5. Step 5: Solve for x
    x = 25,103,367.67/6,476.79
  6. Step 6: Final answer
    x = 3,875.90

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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.