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Finding the Fourth Proportional to 11,164.60, 16,742.04 and 5,614.48

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Solution

The fourth proportional to 11,164.60, 16,742.04 and 5,614.48 is: 8,419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.60 : 16,742.04 = 5,614.48 : x
  2. Step 2: Convert to fraction form
    11,164.60/16,742.04 = 5,614.48/x
  3. Step 3: Cross multiply
    11,164.60x = 16,742.04 × 5,614.48
  4. Step 4: Simplify right side
    11,164.60x = 93,997,848.74
  5. Step 5: Solve for x
    x = 93,997,848.74/11,164.60
  6. Step 6: Final answer
    x = 8,419.28

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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.