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Finding the Fourth Proportional to 9,606.84, 14,398.11 and 5,153.46

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Solution

The fourth proportional to 9,606.84, 14,398.11 and 5,153.46 is: 7,723.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.84 : 14,398.11 = 5,153.46 : x
  2. Step 2: Convert to fraction form
    9,606.84/14,398.11 = 5,153.46/x
  3. Step 3: Cross multiply
    9,606.84x = 14,398.11 × 5,153.46
  4. Step 4: Simplify right side
    9,606.84x = 74,200,083.96
  5. Step 5: Solve for x
    x = 74,200,083.96/9,606.84
  6. Step 6: Final answer
    x = 7,723.67

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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.