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Finding the Fourth Proportional to 7,655.81, 11,483.72 and 2,109.74

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Solution

The fourth proportional to 7,655.81, 11,483.72 and 2,109.74 is: 3,164.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.81 : 11,483.72 = 2,109.74 : x
  2. Step 2: Convert to fraction form
    7,655.81/11,483.72 = 2,109.74/x
  3. Step 3: Cross multiply
    7,655.81x = 11,483.72 × 2,109.74
  4. Step 4: Simplify right side
    7,655.81x = 24,227,652.88
  5. Step 5: Solve for x
    x = 24,227,652.88/7,655.81
  6. Step 6: Final answer
    x = 3,164.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.