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Finding the Fourth Proportional to 8,496, 11,725.56 and 4,770

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Solution

The fourth proportional to 8,496, 11,725.56 and 4,770 is: 6,583.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496 : 11,725.56 = 4,770 : x
  2. Step 2: Convert to fraction form
    8,496/11,725.56 = 4,770/x
  3. Step 3: Cross multiply
    8,496x = 11,725.56 × 4,770
  4. Step 4: Simplify right side
    8,496x = 55,930,921.20
  5. Step 5: Solve for x
    x = 55,930,921.20/8,496
  6. Step 6: Final answer
    x = 6,583.21

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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.