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Finding the Fourth Proportional to 8,538.63, 11,783.39 and 4,812.63

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Solution

The fourth proportional to 8,538.63, 11,783.39 and 4,812.63 is: 6,641.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.63 : 11,783.39 = 4,812.63 : x
  2. Step 2: Convert to fraction form
    8,538.63/11,783.39 = 4,812.63/x
  3. Step 3: Cross multiply
    8,538.63x = 11,783.39 × 4,812.63
  4. Step 4: Simplify right side
    8,538.63x = 56,709,096.22
  5. Step 5: Solve for x
    x = 56,709,096.22/8,538.63
  6. Step 6: Final answer
    x = 6,641.47

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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.