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Finding the Fourth Proportional to 14,637.41, 20,199.47 and 7,922.90

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Solution

The fourth proportional to 14,637.41, 20,199.47 and 7,922.90 is: 10,933.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,637.41 : 20,199.47 = 7,922.90 : x
  2. Step 2: Convert to fraction form
    14,637.41/20,199.47 = 7,922.90/x
  3. Step 3: Cross multiply
    14,637.41x = 20,199.47 × 7,922.90
  4. Step 4: Simplify right side
    14,637.41x = 160,038,240.25
  5. Step 5: Solve for x
    x = 160,038,240.25/14,637.41
  6. Step 6: Final answer
    x = 10,933.51

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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.