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Finding the Fourth Proportional to 8,762.50, 12,093.36 and 5,784.54

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Solution

The fourth proportional to 8,762.50, 12,093.36 and 5,784.54 is: 7,983.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,762.50 : 12,093.36 = 5,784.54 : x
  2. Step 2: Convert to fraction form
    8,762.50/12,093.36 = 5,784.54/x
  3. Step 3: Cross multiply
    8,762.50x = 12,093.36 × 5,784.54
  4. Step 4: Simplify right side
    8,762.50x = 69,954,524.65
  5. Step 5: Solve for x
    x = 69,954,524.65/8,762.50
  6. Step 6: Final answer
    x = 7,983.40

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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.