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Finding the Fourth Proportional to 9,401.46, 14,096.34 and 6,476.46

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Solution

The fourth proportional to 9,401.46, 14,096.34 and 6,476.46 is: 9,710.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.46 : 14,096.34 = 6,476.46 : x
  2. Step 2: Convert to fraction form
    9,401.46/14,096.34 = 6,476.46/x
  3. Step 3: Cross multiply
    9,401.46x = 14,096.34 × 6,476.46
  4. Step 4: Simplify right side
    9,401.46x = 91,294,382.16
  5. Step 5: Solve for x
    x = 91,294,382.16/9,401.46
  6. Step 6: Final answer
    x = 9,710.66

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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.