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Finding the Fourth Proportional to 10,172.73, 14,036.74 and 5,696.67

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Solution

The fourth proportional to 10,172.73, 14,036.74 and 5,696.67 is: 7,860.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.73 : 14,036.74 = 5,696.67 : x
  2. Step 2: Convert to fraction form
    10,172.73/14,036.74 = 5,696.67/x
  3. Step 3: Cross multiply
    10,172.73x = 14,036.74 × 5,696.67
  4. Step 4: Simplify right side
    10,172.73x = 79,962,675.66
  5. Step 5: Solve for x
    x = 79,962,675.66/10,172.73
  6. Step 6: Final answer
    x = 7,860.49

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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.