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Finding the Fourth Proportional to 7,695.50, 11,529.08 and 6,865.32

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Solution

The fourth proportional to 7,695.50, 11,529.08 and 6,865.32 is: 10,285.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.50 : 11,529.08 = 6,865.32 : x
  2. Step 2: Convert to fraction form
    7,695.50/11,529.08 = 6,865.32/x
  3. Step 3: Cross multiply
    7,695.50x = 11,529.08 × 6,865.32
  4. Step 4: Simplify right side
    7,695.50x = 79,150,760.36
  5. Step 5: Solve for x
    x = 79,150,760.36/7,695.50
  6. Step 6: Final answer
    x = 10,285.33

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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.