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Finding the Fourth Proportional to 35,475.84, 53,213.76 and 9,183.24

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Solution

The fourth proportional to 35,475.84, 53,213.76 and 9,183.24 is: 13,774.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,475.84 : 53,213.76 = 9,183.24 : x
  2. Step 2: Convert to fraction form
    35,475.84/53,213.76 = 9,183.24/x
  3. Step 3: Cross multiply
    35,475.84x = 53,213.76 × 9,183.24
  4. Step 4: Simplify right side
    35,475.84x = 488,674,729.38
  5. Step 5: Solve for x
    x = 488,674,729.38/35,475.84
  6. Step 6: Final answer
    x = 13,774.86

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Similar ratio
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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.