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Finding the Fourth Proportional to 11,602.08, 16,000.98 and 7,820.27

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Solution

The fourth proportional to 11,602.08, 16,000.98 and 7,820.27 is: 10,785.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.08 : 16,000.98 = 7,820.27 : x
  2. Step 2: Convert to fraction form
    11,602.08/16,000.98 = 7,820.27/x
  3. Step 3: Cross multiply
    11,602.08x = 16,000.98 × 7,820.27
  4. Step 4: Simplify right side
    11,602.08x = 125,131,903.86
  5. Step 5: Solve for x
    x = 125,131,903.86/11,602.08
  6. Step 6: Final answer
    x = 10,785.30

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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.