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Finding the Fourth Proportional to 11,522.25, 15,899.76 and 6,484.86

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Solution

The fourth proportional to 11,522.25, 15,899.76 and 6,484.86 is: 8,948.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,522.25 : 15,899.76 = 6,484.86 : x
  2. Step 2: Convert to fraction form
    11,522.25/15,899.76 = 6,484.86/x
  3. Step 3: Cross multiply
    11,522.25x = 15,899.76 × 6,484.86
  4. Step 4: Simplify right side
    11,522.25x = 103,107,717.63
  5. Step 5: Solve for x
    x = 103,107,717.63/11,522.25
  6. Step 6: Final answer
    x = 8,948.57

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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.