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Finding the Fourth Proportional to 11,583, 15,984.54 and 6,546.69

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Solution

The fourth proportional to 11,583, 15,984.54 and 6,546.69 is: 9,034.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583 : 15,984.54 = 6,546.69 : x
  2. Step 2: Convert to fraction form
    11,583/15,984.54 = 6,546.69/x
  3. Step 3: Cross multiply
    11,583x = 15,984.54 × 6,546.69
  4. Step 4: Simplify right side
    11,583x = 104,645,828.17
  5. Step 5: Solve for x
    x = 104,645,828.17/11,583
  6. Step 6: Final answer
    x = 9,034.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.