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Finding the Fourth Proportional to 6,488.48, 9,723.58 and 3,710.99

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Solution

The fourth proportional to 6,488.48, 9,723.58 and 3,710.99 is: 5,561.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.48 : 9,723.58 = 3,710.99 : x
  2. Step 2: Convert to fraction form
    6,488.48/9,723.58 = 3,710.99/x
  3. Step 3: Cross multiply
    6,488.48x = 9,723.58 × 3,710.99
  4. Step 4: Simplify right side
    6,488.48x = 36,084,108.14
  5. Step 5: Solve for x
    x = 36,084,108.14/6,488.48
  6. Step 6: Final answer
    x = 5,561.26

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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.