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Finding the Fourth Proportional to 9,777.24, 14,663.16 and 2,755.62

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Solution

The fourth proportional to 9,777.24, 14,663.16 and 2,755.62 is: 4,132.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.24 : 14,663.16 = 2,755.62 : x
  2. Step 2: Convert to fraction form
    9,777.24/14,663.16 = 2,755.62/x
  3. Step 3: Cross multiply
    9,777.24x = 14,663.16 × 2,755.62
  4. Step 4: Simplify right side
    9,777.24x = 40,406,096.96
  5. Step 5: Solve for x
    x = 40,406,096.96/9,777.24
  6. Step 6: Final answer
    x = 4,132.67

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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.