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Finding the Fourth Proportional to 8,523.21, 11,761.76 and 4,746.38

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Solution

The fourth proportional to 8,523.21, 11,761.76 and 4,746.38 is: 6,549.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.21 : 11,761.76 = 4,746.38 : x
  2. Step 2: Convert to fraction form
    8,523.21/11,761.76 = 4,746.38/x
  3. Step 3: Cross multiply
    8,523.21x = 11,761.76 × 4,746.38
  4. Step 4: Simplify right side
    8,523.21x = 55,825,699.89
  5. Step 5: Solve for x
    x = 55,825,699.89/8,523.21
  6. Step 6: Final answer
    x = 6,549.84

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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.