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Finding the Fourth Proportional to 14,632.94, 20,193.30 and 7,918.42

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Solution

The fourth proportional to 14,632.94, 20,193.30 and 7,918.42 is: 10,927.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,632.94 : 20,193.30 = 7,918.42 : x
  2. Step 2: Convert to fraction form
    14,632.94/20,193.30 = 7,918.42/x
  3. Step 3: Cross multiply
    14,632.94x = 20,193.30 × 7,918.42
  4. Step 4: Simplify right side
    14,632.94x = 159,899,030.59
  5. Step 5: Solve for x
    x = 159,899,030.59/14,632.94
  6. Step 6: Final answer
    x = 10,927.33

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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.