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Finding the Fourth Proportional to 9,187, 13,783.26 and 6,523.72

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Solution

The fourth proportional to 9,187, 13,783.26 and 6,523.72 is: 9,787.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187 : 13,783.26 = 6,523.72 : x
  2. Step 2: Convert to fraction form
    9,187/13,783.26 = 6,523.72/x
  3. Step 3: Cross multiply
    9,187x = 13,783.26 × 6,523.72
  4. Step 4: Simplify right side
    9,187x = 89,918,128.93
  5. Step 5: Solve for x
    x = 89,918,128.93/9,187
  6. Step 6: Final answer
    x = 9,787.54

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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.