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Finding the Fourth Proportional to 6,907.44, 10,307.68 and 6,169.08

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Solution

The fourth proportional to 6,907.44, 10,307.68 and 6,169.08 is: 9,205.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.44 : 10,307.68 = 6,169.08 : x
  2. Step 2: Convert to fraction form
    6,907.44/10,307.68 = 6,169.08/x
  3. Step 3: Cross multiply
    6,907.44x = 10,307.68 × 6,169.08
  4. Step 4: Simplify right side
    6,907.44x = 63,588,902.53
  5. Step 5: Solve for x
    x = 63,588,902.53/6,907.44
  6. Step 6: Final answer
    x = 9,205.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.