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Finding the Fourth Proportional to 14,172.56, 19,558.14 and 7,884.94

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Solution

The fourth proportional to 14,172.56, 19,558.14 and 7,884.94 is: 10,881.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,172.56 : 19,558.14 = 7,884.94 : x
  2. Step 2: Convert to fraction form
    14,172.56/19,558.14 = 7,884.94/x
  3. Step 3: Cross multiply
    14,172.56x = 19,558.14 × 7,884.94
  4. Step 4: Simplify right side
    14,172.56x = 154,214,711.52
  5. Step 5: Solve for x
    x = 154,214,711.52/14,172.56
  6. Step 6: Final answer
    x = 10,881.22

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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.