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Finding the Fourth Proportional to 14,641.95, 20,197.65 and 9,262.71

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Solution

The fourth proportional to 14,641.95, 20,197.65 and 9,262.71 is: 12,777.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641.95 : 20,197.65 = 9,262.71 : x
  2. Step 2: Convert to fraction form
    14,641.95/20,197.65 = 9,262.71/x
  3. Step 3: Cross multiply
    14,641.95x = 20,197.65 × 9,262.71
  4. Step 4: Simplify right side
    14,641.95x = 187,084,974.63
  5. Step 5: Solve for x
    x = 187,084,974.63/14,641.95
  6. Step 6: Final answer
    x = 12,777.33

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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.