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Finding the Fourth Proportional to 7,095.52, 10,640.08 and 2,165.76

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Solution

The fourth proportional to 7,095.52, 10,640.08 and 2,165.76 is: 3,247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.52 : 10,640.08 = 2,165.76 : x
  2. Step 2: Convert to fraction form
    7,095.52/10,640.08 = 2,165.76/x
  3. Step 3: Cross multiply
    7,095.52x = 10,640.08 × 2,165.76
  4. Step 4: Simplify right side
    7,095.52x = 23,043,859.66
  5. Step 5: Solve for x
    x = 23,043,859.66/7,095.52
  6. Step 6: Final answer
    x = 3,247.66

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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.