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Finding the Fourth Proportional to 6,596.34, 9,894.30 and 3,085.08

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Solution

The fourth proportional to 6,596.34, 9,894.30 and 3,085.08 is: 4,627.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.34 : 9,894.30 = 3,085.08 : x
  2. Step 2: Convert to fraction form
    6,596.34/9,894.30 = 3,085.08/x
  3. Step 3: Cross multiply
    6,596.34x = 9,894.30 × 3,085.08
  4. Step 4: Simplify right side
    6,596.34x = 30,524,707.04
  5. Step 5: Solve for x
    x = 30,524,707.04/6,596.34
  6. Step 6: Final answer
    x = 4,627.52

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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.