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Finding the Fourth Proportional to 9,798.70, 13,514.15 and 6,610.90

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Solution

The fourth proportional to 9,798.70, 13,514.15 and 6,610.90 is: 9,117.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.70 : 13,514.15 = 6,610.90 : x
  2. Step 2: Convert to fraction form
    9,798.70/13,514.15 = 6,610.90/x
  3. Step 3: Cross multiply
    9,798.70x = 13,514.15 × 6,610.90
  4. Step 4: Simplify right side
    9,798.70x = 89,340,694.24
  5. Step 5: Solve for x
    x = 89,340,694.24/9,798.70
  6. Step 6: Final answer
    x = 9,117.61

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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.