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Finding the Fourth Proportional to 7,674.30, 10,592.91 and 5,903.82

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Solution

The fourth proportional to 7,674.30, 10,592.91 and 5,903.82 is: 8,149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.30 : 10,592.91 = 5,903.82 : x
  2. Step 2: Convert to fraction form
    7,674.30/10,592.91 = 5,903.82/x
  3. Step 3: Cross multiply
    7,674.30x = 10,592.91 × 5,903.82
  4. Step 4: Simplify right side
    7,674.30x = 62,538,633.92
  5. Step 5: Solve for x
    x = 62,538,633.92/7,674.30
  6. Step 6: Final answer
    x = 8,149.10

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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.