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Finding the Fourth Proportional to 5,671.69, 7,832.91 and 5,053.26

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Solution

The fourth proportional to 5,671.69, 7,832.91 and 5,053.26 is: 6,978.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.69 : 7,832.91 = 5,053.26 : x
  2. Step 2: Convert to fraction form
    5,671.69/7,832.91 = 5,053.26/x
  3. Step 3: Cross multiply
    5,671.69x = 7,832.91 × 5,053.26
  4. Step 4: Simplify right side
    5,671.69x = 39,581,730.79
  5. Step 5: Solve for x
    x = 39,581,730.79/5,671.69
  6. Step 6: Final answer
    x = 6,978.82

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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.