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Finding the Fourth Proportional to 13,205.53, 19,801.14 and 5,801.32

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Solution

The fourth proportional to 13,205.53, 19,801.14 and 5,801.32 is: 8,698.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.53 : 19,801.14 = 5,801.32 : x
  2. Step 2: Convert to fraction form
    13,205.53/19,801.14 = 5,801.32/x
  3. Step 3: Cross multiply
    13,205.53x = 19,801.14 × 5,801.32
  4. Step 4: Simplify right side
    13,205.53x = 114,872,749.50
  5. Step 5: Solve for x
    x = 114,872,749.50/13,205.53
  6. Step 6: Final answer
    x = 8,698.84

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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.