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Finding the Fourth Proportional to 20,543.94, 30,830.76 and 7,397.64

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Solution

The fourth proportional to 20,543.94, 30,830.76 and 7,397.64 is: 11,101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,543.94 : 30,830.76 = 7,397.64 : x
  2. Step 2: Convert to fraction form
    20,543.94/30,830.76 = 7,397.64/x
  3. Step 3: Cross multiply
    20,543.94x = 30,830.76 × 7,397.64
  4. Step 4: Simplify right side
    20,543.94x = 228,074,863.41
  5. Step 5: Solve for x
    x = 228,074,863.41/20,543.94
  6. Step 6: Final answer
    x = 11,101.81

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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.