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Finding the Fourth Proportional to 11,420.76, 15,760.44 and 6,452.76

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Solution

The fourth proportional to 11,420.76, 15,760.44 and 6,452.76 is: 8,904.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420.76 : 15,760.44 = 6,452.76 : x
  2. Step 2: Convert to fraction form
    11,420.76/15,760.44 = 6,452.76/x
  3. Step 3: Cross multiply
    11,420.76x = 15,760.44 × 6,452.76
  4. Step 4: Simplify right side
    11,420.76x = 101,698,336.81
  5. Step 5: Solve for x
    x = 101,698,336.81/11,420.76
  6. Step 6: Final answer
    x = 8,904.69

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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.