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Finding the Fourth Proportional to 8,523.63, 11,761.94 and 4,746.49

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Solution

The fourth proportional to 8,523.63, 11,761.94 and 4,746.49 is: 6,549.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.63 : 11,761.94 = 4,746.49 : x
  2. Step 2: Convert to fraction form
    8,523.63/11,761.94 = 4,746.49/x
  3. Step 3: Cross multiply
    8,523.63x = 11,761.94 × 4,746.49
  4. Step 4: Simplify right side
    8,523.63x = 55,827,913.05
  5. Step 5: Solve for x
    x = 55,827,913.05/8,523.63
  6. Step 6: Final answer
    x = 6,549.78

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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.