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Finding the Fourth Proportional to 6,975.98, 10,463.99 and 4,905.25

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Solution

The fourth proportional to 6,975.98, 10,463.99 and 4,905.25 is: 7,357.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.98 : 10,463.99 = 4,905.25 : x
  2. Step 2: Convert to fraction form
    6,975.98/10,463.99 = 4,905.25/x
  3. Step 3: Cross multiply
    6,975.98x = 10,463.99 × 4,905.25
  4. Step 4: Simplify right side
    6,975.98x = 51,328,486.95
  5. Step 5: Solve for x
    x = 51,328,486.95/6,975.98
  6. Step 6: Final answer
    x = 7,357.89

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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.