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Finding the Fourth Proportional to 7,098.99, 10,633.95 and 3,584.07

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Solution

The fourth proportional to 7,098.99, 10,633.95 and 3,584.07 is: 5,368.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.99 : 10,633.95 = 3,584.07 : x
  2. Step 2: Convert to fraction form
    7,098.99/10,633.95 = 3,584.07/x
  3. Step 3: Cross multiply
    7,098.99x = 10,633.95 × 3,584.07
  4. Step 4: Simplify right side
    7,098.99x = 38,112,821.18
  5. Step 5: Solve for x
    x = 38,112,821.18/7,098.99
  6. Step 6: Final answer
    x = 5,368.77

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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.