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Finding the Fourth Proportional to 7,952.94, 10,975.64 and 5,959.98

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Solution

The fourth proportional to 7,952.94, 10,975.64 and 5,959.98 is: 8,225.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.94 : 10,975.64 = 5,959.98 : x
  2. Step 2: Convert to fraction form
    7,952.94/10,975.64 = 5,959.98/x
  3. Step 3: Cross multiply
    7,952.94x = 10,975.64 × 5,959.98
  4. Step 4: Simplify right side
    7,952.94x = 65,414,565.09
  5. Step 5: Solve for x
    x = 65,414,565.09/7,952.94
  6. Step 6: Final answer
    x = 8,225.21

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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.