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Finding the Fourth Proportional to 13,627.64, 18,807.14 and 8,323.46

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Solution

The fourth proportional to 13,627.64, 18,807.14 and 8,323.46 is: 11,486.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,627.64 : 18,807.14 = 8,323.46 : x
  2. Step 2: Convert to fraction form
    13,627.64/18,807.14 = 8,323.46/x
  3. Step 3: Cross multiply
    13,627.64x = 18,807.14 × 8,323.46
  4. Step 4: Simplify right side
    13,627.64x = 156,540,427.98
  5. Step 5: Solve for x
    x = 156,540,427.98/13,627.64
  6. Step 6: Final answer
    x = 11,486.98

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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.