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Finding the Fourth Proportional to 15,090.89, 20,827.89 and 8,378.67

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Solution

The fourth proportional to 15,090.89, 20,827.89 and 8,378.67 is: 11,563.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,090.89 : 20,827.89 = 8,378.67 : x
  2. Step 2: Convert to fraction form
    15,090.89/20,827.89 = 8,378.67/x
  3. Step 3: Cross multiply
    15,090.89x = 20,827.89 × 8,378.67
  4. Step 4: Simplify right side
    15,090.89x = 174,510,017.11
  5. Step 5: Solve for x
    x = 174,510,017.11/15,090.89
  6. Step 6: Final answer
    x = 11,563.94

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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.