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Finding the Fourth Proportional to 13,783.50, 20,658.78 and 5,008.14

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Solution

The fourth proportional to 13,783.50, 20,658.78 and 5,008.14 is: 7,506.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.50 : 20,658.78 = 5,008.14 : x
  2. Step 2: Convert to fraction form
    13,783.50/20,658.78 = 5,008.14/x
  3. Step 3: Cross multiply
    13,783.50x = 20,658.78 × 5,008.14
  4. Step 4: Simplify right side
    13,783.50x = 103,462,062.47
  5. Step 5: Solve for x
    x = 103,462,062.47/13,783.50
  6. Step 6: Final answer
    x = 7,506.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.