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Finding the Fourth Proportional to 13,505.84, 20,267.84 and 4,740.80

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Solution

The fourth proportional to 13,505.84, 20,267.84 and 4,740.80 is: 7,114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505.84 : 20,267.84 = 4,740.80 : x
  2. Step 2: Convert to fraction form
    13,505.84/20,267.84 = 4,740.80/x
  3. Step 3: Cross multiply
    13,505.84x = 20,267.84 × 4,740.80
  4. Step 4: Simplify right side
    13,505.84x = 96,085,775.87
  5. Step 5: Solve for x
    x = 96,085,775.87/13,505.84
  6. Step 6: Final answer
    x = 7,114.39

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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.