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Finding the Fourth Proportional to 13,207.66, 19,801.12 and 6,546.48

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Solution

The fourth proportional to 13,207.66, 19,801.12 and 6,546.48 is: 9,814.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,207.66 : 19,801.12 = 6,546.48 : x
  2. Step 2: Convert to fraction form
    13,207.66/19,801.12 = 6,546.48/x
  3. Step 3: Cross multiply
    13,207.66x = 19,801.12 × 6,546.48
  4. Step 4: Simplify right side
    13,207.66x = 129,627,580.84
  5. Step 5: Solve for x
    x = 129,627,580.84/13,207.66
  6. Step 6: Final answer
    x = 9,814.58

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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.