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Finding the Fourth Proportional to 9,443, 13,024.90 and 5,663.56

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Solution

The fourth proportional to 9,443, 13,024.90 and 5,663.56 is: 7,811.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443 : 13,024.90 = 5,663.56 : x
  2. Step 2: Convert to fraction form
    9,443/13,024.90 = 5,663.56/x
  3. Step 3: Cross multiply
    9,443x = 13,024.90 × 5,663.56
  4. Step 4: Simplify right side
    9,443x = 73,767,302.64
  5. Step 5: Solve for x
    x = 73,767,302.64/9,443
  6. Step 6: Final answer
    x = 7,811.85

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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.