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Finding the Fourth Proportional to 5,678.91, 7,836.75 and 5,511.24

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Solution

The fourth proportional to 5,678.91, 7,836.75 and 5,511.24 is: 7,605.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.91 : 7,836.75 = 5,511.24 : x
  2. Step 2: Convert to fraction form
    5,678.91/7,836.75 = 5,511.24/x
  3. Step 3: Cross multiply
    5,678.91x = 7,836.75 × 5,511.24
  4. Step 4: Simplify right side
    5,678.91x = 43,190,210.07
  5. Step 5: Solve for x
    x = 43,190,210.07/5,678.91
  6. Step 6: Final answer
    x = 7,605.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.