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Finding the Fourth Proportional to 6,449.29, 8,907.03 and 5,194.51

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Solution

The fourth proportional to 6,449.29, 8,907.03 and 5,194.51 is: 7,174.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.29 : 8,907.03 = 5,194.51 : x
  2. Step 2: Convert to fraction form
    6,449.29/8,907.03 = 5,194.51/x
  3. Step 3: Cross multiply
    6,449.29x = 8,907.03 × 5,194.51
  4. Step 4: Simplify right side
    6,449.29x = 46,267,656.41
  5. Step 5: Solve for x
    x = 46,267,656.41/6,449.29
  6. Step 6: Final answer
    x = 7,174.07

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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.