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Finding the Fourth Proportional to 12,573.66, 17,351.94 and 6,908.76

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Solution

The fourth proportional to 12,573.66, 17,351.94 and 6,908.76 is: 9,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,573.66 : 17,351.94 = 6,908.76 : x
  2. Step 2: Convert to fraction form
    12,573.66/17,351.94 = 6,908.76/x
  3. Step 3: Cross multiply
    12,573.66x = 17,351.94 × 6,908.76
  4. Step 4: Simplify right side
    12,573.66x = 119,880,479.97
  5. Step 5: Solve for x
    x = 119,880,479.97/12,573.66
  6. Step 6: Final answer
    x = 9,534.25

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Half scale
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1.5x scale

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.