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Finding the Fourth Proportional to 9,784.58, 13,478.09 and 9,066.96

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Solution

The fourth proportional to 9,784.58, 13,478.09 and 9,066.96 is: 12,489.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.58 : 13,478.09 = 9,066.96 : x
  2. Step 2: Convert to fraction form
    9,784.58/13,478.09 = 9,066.96/x
  3. Step 3: Cross multiply
    9,784.58x = 13,478.09 × 9,066.96
  4. Step 4: Simplify right side
    9,784.58x = 122,205,257.57
  5. Step 5: Solve for x
    x = 122,205,257.57/9,784.58
  6. Step 6: Final answer
    x = 12,489.58

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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.