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Finding the Fourth Proportional to 13,698.63, 20,533.10 and 7,025.99

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Solution

The fourth proportional to 13,698.63, 20,533.10 and 7,025.99 is: 10,531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.63 : 20,533.10 = 7,025.99 : x
  2. Step 2: Convert to fraction form
    13,698.63/20,533.10 = 7,025.99/x
  3. Step 3: Cross multiply
    13,698.63x = 20,533.10 × 7,025.99
  4. Step 4: Simplify right side
    13,698.63x = 144,265,217.47
  5. Step 5: Solve for x
    x = 144,265,217.47/13,698.63
  6. Step 6: Final answer
    x = 10,531.36

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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.