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Finding the Fourth Proportional to 12,207.84, 18,284.04 and 7,765.47

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Solution

The fourth proportional to 12,207.84, 18,284.04 and 7,765.47 is: 11,630.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.84 : 18,284.04 = 7,765.47 : x
  2. Step 2: Convert to fraction form
    12,207.84/18,284.04 = 7,765.47/x
  3. Step 3: Cross multiply
    12,207.84x = 18,284.04 × 7,765.47
  4. Step 4: Simplify right side
    12,207.84x = 141,984,164.10
  5. Step 5: Solve for x
    x = 141,984,164.10/12,207.84
  6. Step 6: Final answer
    x = 11,630.57

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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.