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Finding the Fourth Proportional to 4,334, 6,501.24 and 1,256.24

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Solution

The fourth proportional to 4,334, 6,501.24 and 1,256.24 is: 1,884.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334 : 6,501.24 = 1,256.24 : x
  2. Step 2: Convert to fraction form
    4,334/6,501.24 = 1,256.24/x
  3. Step 3: Cross multiply
    4,334x = 6,501.24 × 1,256.24
  4. Step 4: Simplify right side
    4,334x = 8,167,117.74
  5. Step 5: Solve for x
    x = 8,167,117.74/4,334
  6. Step 6: Final answer
    x = 1,884.43

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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.