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Finding the Fourth Proportional to 6,907.62, 9,534.65 and 4,255.88

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Solution

The fourth proportional to 6,907.62, 9,534.65 and 4,255.88 is: 5,874.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.62 : 9,534.65 = 4,255.88 : x
  2. Step 2: Convert to fraction form
    6,907.62/9,534.65 = 4,255.88/x
  3. Step 3: Cross multiply
    6,907.62x = 9,534.65 × 4,255.88
  4. Step 4: Simplify right side
    6,907.62x = 40,578,373.65
  5. Step 5: Solve for x
    x = 40,578,373.65/6,907.62
  6. Step 6: Final answer
    x = 5,874.44

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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.