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Finding the Fourth Proportional to 15,770.16, 21,771.72 and 10,472.22

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Solution

The fourth proportional to 15,770.16, 21,771.72 and 10,472.22 is: 14,457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770.16 : 21,771.72 = 10,472.22 : x
  2. Step 2: Convert to fraction form
    15,770.16/21,771.72 = 10,472.22/x
  3. Step 3: Cross multiply
    15,770.16x = 21,771.72 × 10,472.22
  4. Step 4: Simplify right side
    15,770.16x = 227,998,241.62
  5. Step 5: Solve for x
    x = 227,998,241.62/15,770.16
  6. Step 6: Final answer
    x = 14,457.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.