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Finding the Fourth Proportional to 8,483.75, 12,656.74 and 8,024.48

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Solution

The fourth proportional to 8,483.75, 12,656.74 and 8,024.48 is: 11,971.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,483.75 : 12,656.74 = 8,024.48 : x
  2. Step 2: Convert to fraction form
    8,483.75/12,656.74 = 8,024.48/x
  3. Step 3: Cross multiply
    8,483.75x = 12,656.74 × 8,024.48
  4. Step 4: Simplify right side
    8,483.75x = 101,563,786.80
  5. Step 5: Solve for x
    x = 101,563,786.80/8,483.75
  6. Step 6: Final answer
    x = 11,971.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.