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Finding the Fourth Proportional to 8,124.78, 11,206.90 and 5,738.22

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Solution

The fourth proportional to 8,124.78, 11,206.90 and 5,738.22 is: 7,915.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.78 : 11,206.90 = 5,738.22 : x
  2. Step 2: Convert to fraction form
    8,124.78/11,206.90 = 5,738.22/x
  3. Step 3: Cross multiply
    8,124.78x = 11,206.90 × 5,738.22
  4. Step 4: Simplify right side
    8,124.78x = 64,307,657.72
  5. Step 5: Solve for x
    x = 64,307,657.72/8,124.78
  6. Step 6: Final answer
    x = 7,915.00

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1.5x scale

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.