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Finding the Fourth Proportional to 6,458.63, 9,674.79 and 5,920.43

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Solution

The fourth proportional to 6,458.63, 9,674.79 and 5,920.43 is: 8,868.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.63 : 9,674.79 = 5,920.43 : x
  2. Step 2: Convert to fraction form
    6,458.63/9,674.79 = 5,920.43/x
  3. Step 3: Cross multiply
    6,458.63x = 9,674.79 × 5,920.43
  4. Step 4: Simplify right side
    6,458.63x = 57,278,868.59
  5. Step 5: Solve for x
    x = 57,278,868.59/6,458.63
  6. Step 6: Final answer
    x = 8,868.59

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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.