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Finding the Fourth Proportional to 13,894.20, 19,172.64 and 7,927.20

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Solution

The fourth proportional to 13,894.20, 19,172.64 and 7,927.20 is: 10,938.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.20 : 19,172.64 = 7,927.20 : x
  2. Step 2: Convert to fraction form
    13,894.20/19,172.64 = 7,927.20/x
  3. Step 3: Cross multiply
    13,894.20x = 19,172.64 × 7,927.20
  4. Step 4: Simplify right side
    13,894.20x = 151,985,351.81
  5. Step 5: Solve for x
    x = 151,985,351.81/13,894.20
  6. Step 6: Final answer
    x = 10,938.76

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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.