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Finding the Fourth Proportional to 9,806.34, 14,697.46 and 4,534.22

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Solution

The fourth proportional to 9,806.34, 14,697.46 and 4,534.22 is: 6,795.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.34 : 14,697.46 = 4,534.22 : x
  2. Step 2: Convert to fraction form
    9,806.34/14,697.46 = 4,534.22/x
  3. Step 3: Cross multiply
    9,806.34x = 14,697.46 × 4,534.22
  4. Step 4: Simplify right side
    9,806.34x = 66,641,517.08
  5. Step 5: Solve for x
    x = 66,641,517.08/9,806.34
  6. Step 6: Final answer
    x = 6,795.76

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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.