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Finding the Fourth Proportional to 6,907.19, 10,340.72 and 6,194.80

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Solution

The fourth proportional to 6,907.19, 10,340.72 and 6,194.80 is: 9,274.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.19 : 10,340.72 = 6,194.80 : x
  2. Step 2: Convert to fraction form
    6,907.19/10,340.72 = 6,194.80/x
  3. Step 3: Cross multiply
    6,907.19x = 10,340.72 × 6,194.80
  4. Step 4: Simplify right side
    6,907.19x = 64,058,609.58
  5. Step 5: Solve for x
    x = 64,058,609.58/6,907.19
  6. Step 6: Final answer
    x = 9,274.19

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1.5x scale

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.