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Finding the Fourth Proportional to 7,758.42, 11,633.24 and 5,296.23

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Solution

The fourth proportional to 7,758.42, 11,633.24 and 5,296.23 is: 7,941.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.42 : 11,633.24 = 5,296.23 : x
  2. Step 2: Convert to fraction form
    7,758.42/11,633.24 = 5,296.23/x
  3. Step 3: Cross multiply
    7,758.42x = 11,633.24 × 5,296.23
  4. Step 4: Simplify right side
    7,758.42x = 61,612,288.20
  5. Step 5: Solve for x
    x = 61,612,288.20/7,758.42
  6. Step 6: Final answer
    x = 7,941.34

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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.