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Finding the Fourth Proportional to 7,148, 10,727.76 and 3,686.24

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Solution

The fourth proportional to 7,148, 10,727.76 and 3,686.24 is: 5,532.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148 : 10,727.76 = 3,686.24 : x
  2. Step 2: Convert to fraction form
    7,148/10,727.76 = 3,686.24/x
  3. Step 3: Cross multiply
    7,148x = 10,727.76 × 3,686.24
  4. Step 4: Simplify right side
    7,148x = 39,545,098.02
  5. Step 5: Solve for x
    x = 39,545,098.02/7,148
  6. Step 6: Final answer
    x = 5,532.33

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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.