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Finding the Fourth Proportional to 12,535.76, 17,300.04 and 6,946.64

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Solution

The fourth proportional to 12,535.76, 17,300.04 and 6,946.64 is: 9,586.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.76 : 17,300.04 = 6,946.64 : x
  2. Step 2: Convert to fraction form
    12,535.76/17,300.04 = 6,946.64/x
  3. Step 3: Cross multiply
    12,535.76x = 17,300.04 × 6,946.64
  4. Step 4: Simplify right side
    12,535.76x = 120,177,149.87
  5. Step 5: Solve for x
    x = 120,177,149.87/12,535.76
  6. Step 6: Final answer
    x = 9,586.75

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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.