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Finding the Fourth Proportional to 11,583.07, 15,995.98 and 9,894.62

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Solution

The fourth proportional to 11,583.07, 15,995.98 and 9,894.62 is: 13,664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583.07 : 15,995.98 = 9,894.62 : x
  2. Step 2: Convert to fraction form
    11,583.07/15,995.98 = 9,894.62/x
  3. Step 3: Cross multiply
    11,583.07x = 15,995.98 × 9,894.62
  4. Step 4: Simplify right side
    11,583.07x = 158,274,143.63
  5. Step 5: Solve for x
    x = 158,274,143.63/11,583.07
  6. Step 6: Final answer
    x = 13,664.27

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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.