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Finding the Fourth Proportional to 13,897.80, 20,846.70 and 10,225.80

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Solution

The fourth proportional to 13,897.80, 20,846.70 and 10,225.80 is: 15,338.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.80 : 20,846.70 = 10,225.80 : x
  2. Step 2: Convert to fraction form
    13,897.80/20,846.70 = 10,225.80/x
  3. Step 3: Cross multiply
    13,897.80x = 20,846.70 × 10,225.80
  4. Step 4: Simplify right side
    13,897.80x = 213,174,184.86
  5. Step 5: Solve for x
    x = 213,174,184.86/13,897.80
  6. Step 6: Final answer
    x = 15,338.70

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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.