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Finding the Fourth Proportional to 9,805.92, 14,689.77 and 7,835.64

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Solution

The fourth proportional to 9,805.92, 14,689.77 and 7,835.64 is: 11,738.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.92 : 14,689.77 = 7,835.64 : x
  2. Step 2: Convert to fraction form
    9,805.92/14,689.77 = 7,835.64/x
  3. Step 3: Cross multiply
    9,805.92x = 14,689.77 × 7,835.64
  4. Step 4: Simplify right side
    9,805.92x = 115,103,749.40
  5. Step 5: Solve for x
    x = 115,103,749.40/9,805.92
  6. Step 6: Final answer
    x = 11,738.19

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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.