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Finding the Fourth Proportional to 8,524.44, 12,782.22 and 5,751

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Solution

The fourth proportional to 8,524.44, 12,782.22 and 5,751 is: 8,623.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.44 : 12,782.22 = 5,751 : x
  2. Step 2: Convert to fraction form
    8,524.44/12,782.22 = 5,751/x
  3. Step 3: Cross multiply
    8,524.44x = 12,782.22 × 5,751
  4. Step 4: Simplify right side
    8,524.44x = 73,510,547.22
  5. Step 5: Solve for x
    x = 73,510,547.22/8,524.44
  6. Step 6: Final answer
    x = 8,623.50

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1.5x scale

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.