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Finding the Fourth Proportional to 5,805.74, 8,006.04 and 4,969.22

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Solution

The fourth proportional to 5,805.74, 8,006.04 and 4,969.22 is: 6,852.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.74 : 8,006.04 = 4,969.22 : x
  2. Step 2: Convert to fraction form
    5,805.74/8,006.04 = 4,969.22/x
  3. Step 3: Cross multiply
    5,805.74x = 8,006.04 × 4,969.22
  4. Step 4: Simplify right side
    5,805.74x = 39,783,774.09
  5. Step 5: Solve for x
    x = 39,783,774.09/5,805.74
  6. Step 6: Final answer
    x = 6,852.49

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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.