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Finding the Fourth Proportional to 7,952.64, 10,974.66 and 4,415.82

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Solution

The fourth proportional to 7,952.64, 10,974.66 and 4,415.82 is: 6,093.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.64 : 10,974.66 = 4,415.82 : x
  2. Step 2: Convert to fraction form
    7,952.64/10,974.66 = 4,415.82/x
  3. Step 3: Cross multiply
    7,952.64x = 10,974.66 × 4,415.82
  4. Step 4: Simplify right side
    7,952.64x = 48,462,123.12
  5. Step 5: Solve for x
    x = 48,462,123.12/7,952.64
  6. Step 6: Final answer
    x = 6,093.84

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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.