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Finding the Fourth Proportional to 15,090.86, 20,827.88 and 8,378.64

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Solution

The fourth proportional to 15,090.86, 20,827.88 and 8,378.64 is: 11,563.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,090.86 : 20,827.88 = 8,378.64 : x
  2. Step 2: Convert to fraction form
    15,090.86/20,827.88 = 8,378.64/x
  3. Step 3: Cross multiply
    15,090.86x = 20,827.88 × 8,378.64
  4. Step 4: Simplify right side
    15,090.86x = 174,509,308.48
  5. Step 5: Solve for x
    x = 174,509,308.48/15,090.86
  6. Step 6: Final answer
    x = 11,563.91

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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.