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Finding the Fourth Proportional to 14,901.14, 20,564.14 and 8,187.54

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Solution

The fourth proportional to 14,901.14, 20,564.14 and 8,187.54 is: 11,299.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,901.14 : 20,564.14 = 8,187.54 : x
  2. Step 2: Convert to fraction form
    14,901.14/20,564.14 = 8,187.54/x
  3. Step 3: Cross multiply
    14,901.14x = 20,564.14 × 8,187.54
  4. Step 4: Simplify right side
    14,901.14x = 168,369,718.82
  5. Step 5: Solve for x
    x = 168,369,718.82/14,901.14
  6. Step 6: Final answer
    x = 11,299.12

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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.