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Finding the Fourth Proportional to 9,461.98, 14,194.64 and 3,912.22

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Solution

The fourth proportional to 9,461.98, 14,194.64 and 3,912.22 is: 5,869.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.98 : 14,194.64 = 3,912.22 : x
  2. Step 2: Convert to fraction form
    9,461.98/14,194.64 = 3,912.22/x
  3. Step 3: Cross multiply
    9,461.98x = 14,194.64 × 3,912.22
  4. Step 4: Simplify right side
    9,461.98x = 55,532,483.53
  5. Step 5: Solve for x
    x = 55,532,483.53/9,461.98
  6. Step 6: Final answer
    x = 5,869.01

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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.