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Finding the Fourth Proportional to 6,958.36, 9,605.82 and 4,307.50

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Solution

The fourth proportional to 6,958.36, 9,605.82 and 4,307.50 is: 5,946.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.36 : 9,605.82 = 4,307.50 : x
  2. Step 2: Convert to fraction form
    6,958.36/9,605.82 = 4,307.50/x
  3. Step 3: Cross multiply
    6,958.36x = 9,605.82 × 4,307.50
  4. Step 4: Simplify right side
    6,958.36x = 41,377,069.65
  5. Step 5: Solve for x
    x = 41,377,069.65/6,958.36
  6. Step 6: Final answer
    x = 5,946.38

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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.