Home / 9,024-13,538.70-3,830.28

Finding the Fourth Proportional to 9,024, 13,538.70 and 3,830.28

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Solution

The fourth proportional to 9,024, 13,538.70 and 3,830.28 is: 5,746.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024 : 13,538.70 = 3,830.28 : x
  2. Step 2: Convert to fraction form
    9,024/13,538.70 = 3,830.28/x
  3. Step 3: Cross multiply
    9,024x = 13,538.70 × 3,830.28
  4. Step 4: Simplify right side
    9,024x = 51,857,011.84
  5. Step 5: Solve for x
    x = 51,857,011.84/9,024
  6. Step 6: Final answer
    x = 5,746.57

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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.