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Finding the Fourth Proportional to 11,613, 16,025.52 and 6,307.72

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Solution

The fourth proportional to 11,613, 16,025.52 and 6,307.72 is: 8,704.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613 : 16,025.52 = 6,307.72 : x
  2. Step 2: Convert to fraction form
    11,613/16,025.52 = 6,307.72/x
  3. Step 3: Cross multiply
    11,613x = 16,025.52 × 6,307.72
  4. Step 4: Simplify right side
    11,613x = 101,084,493.01
  5. Step 5: Solve for x
    x = 101,084,493.01/11,613
  6. Step 6: Final answer
    x = 8,704.43

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Double scale
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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.