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Finding the Fourth Proportional to 9,137.64, 12,609.95 and 4,945.89

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Solution

The fourth proportional to 9,137.64, 12,609.95 and 4,945.89 is: 6,825.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.64 : 12,609.95 = 4,945.89 : x
  2. Step 2: Convert to fraction form
    9,137.64/12,609.95 = 4,945.89/x
  3. Step 3: Cross multiply
    9,137.64x = 12,609.95 × 4,945.89
  4. Step 4: Simplify right side
    9,137.64x = 62,367,337.83
  5. Step 5: Solve for x
    x = 62,367,337.83/9,137.64
  6. Step 6: Final answer
    x = 6,825.33

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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.