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Finding the Fourth Proportional to 20,305, 30,457.50 and 8,001.64

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Solution

The fourth proportional to 20,305, 30,457.50 and 8,001.64 is: 12,002.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,305 : 30,457.50 = 8,001.64 : x
  2. Step 2: Convert to fraction form
    20,305/30,457.50 = 8,001.64/x
  3. Step 3: Cross multiply
    20,305x = 30,457.50 × 8,001.64
  4. Step 4: Simplify right side
    20,305x = 243,709,950.30
  5. Step 5: Solve for x
    x = 243,709,950.30/20,305
  6. Step 6: Final answer
    x = 12,002.46

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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.