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Finding the Fourth Proportional to 9,796.70, 13,514.06 and 6,205.08

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Solution

The fourth proportional to 9,796.70, 13,514.06 and 6,205.08 is: 8,559.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.70 : 13,514.06 = 6,205.08 : x
  2. Step 2: Convert to fraction form
    9,796.70/13,514.06 = 6,205.08/x
  3. Step 3: Cross multiply
    9,796.70x = 13,514.06 × 6,205.08
  4. Step 4: Simplify right side
    9,796.70x = 83,855,823.42
  5. Step 5: Solve for x
    x = 83,855,823.42/9,796.70
  6. Step 6: Final answer
    x = 8,559.60

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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.