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Finding the Fourth Proportional to 8,496, 12,749.76 and 3,024

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Solution

The fourth proportional to 8,496, 12,749.76 and 3,024 is: 4,538.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496 : 12,749.76 = 3,024 : x
  2. Step 2: Convert to fraction form
    8,496/12,749.76 = 3,024/x
  3. Step 3: Cross multiply
    8,496x = 12,749.76 × 3,024
  4. Step 4: Simplify right side
    8,496x = 38,555,274.24
  5. Step 5: Solve for x
    x = 38,555,274.24/8,496
  6. Step 6: Final answer
    x = 4,538.05

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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.