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Finding the Fourth Proportional to 12,611.44, 17,403.62 and 6,946.06

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Solution

The fourth proportional to 12,611.44, 17,403.62 and 6,946.06 is: 9,585.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,611.44 : 17,403.62 = 6,946.06 : x
  2. Step 2: Convert to fraction form
    12,611.44/17,403.62 = 6,946.06/x
  3. Step 3: Cross multiply
    12,611.44x = 17,403.62 × 6,946.06
  4. Step 4: Simplify right side
    12,611.44x = 120,886,588.74
  5. Step 5: Solve for x
    x = 120,886,588.74/12,611.44
  6. Step 6: Final answer
    x = 9,585.47

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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.