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Finding the Fourth Proportional to 6,952.68, 9,596.71 and 3,970.14

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Solution

The fourth proportional to 6,952.68, 9,596.71 and 3,970.14 is: 5,479.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.68 : 9,596.71 = 3,970.14 : x
  2. Step 2: Convert to fraction form
    6,952.68/9,596.71 = 3,970.14/x
  3. Step 3: Cross multiply
    6,952.68x = 9,596.71 × 3,970.14
  4. Step 4: Simplify right side
    6,952.68x = 38,100,282.24
  5. Step 5: Solve for x
    x = 38,100,282.24/6,952.68
  6. Step 6: Final answer
    x = 5,479.94

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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.