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Finding the Fourth Proportional to 9,695.52, 14,536.08 and 6,920.52

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Solution

The fourth proportional to 9,695.52, 14,536.08 and 6,920.52 is: 10,375.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.52 : 14,536.08 = 6,920.52 : x
  2. Step 2: Convert to fraction form
    9,695.52/14,536.08 = 6,920.52/x
  3. Step 3: Cross multiply
    9,695.52x = 14,536.08 × 6,920.52
  4. Step 4: Simplify right side
    9,695.52x = 100,597,232.36
  5. Step 5: Solve for x
    x = 100,597,232.36/9,695.52
  6. Step 6: Final answer
    x = 10,375.64

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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.