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Finding the Fourth Proportional to 11,311.58, 15,609.98 and 6,275.86

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Solution

The fourth proportional to 11,311.58, 15,609.98 and 6,275.86 is: 8,660.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.58 : 15,609.98 = 6,275.86 : x
  2. Step 2: Convert to fraction form
    11,311.58/15,609.98 = 6,275.86/x
  3. Step 3: Cross multiply
    11,311.58x = 15,609.98 × 6,275.86
  4. Step 4: Simplify right side
    11,311.58x = 97,966,025.75
  5. Step 5: Solve for x
    x = 97,966,025.75/11,311.58
  6. Step 6: Final answer
    x = 8,660.68

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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.