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Finding the Fourth Proportional to 14,451, 19,942.38 and 7,827

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Solution

The fourth proportional to 14,451, 19,942.38 and 7,827 is: 10,801.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,451 : 19,942.38 = 7,827 : x
  2. Step 2: Convert to fraction form
    14,451/19,942.38 = 7,827/x
  3. Step 3: Cross multiply
    14,451x = 19,942.38 × 7,827
  4. Step 4: Simplify right side
    14,451x = 156,089,008.26
  5. Step 5: Solve for x
    x = 156,089,008.26/14,451
  6. Step 6: Final answer
    x = 10,801.26

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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.