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Finding the Fourth Proportional to 13,047.60, 18,004.50 and 7,382.86

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Solution

The fourth proportional to 13,047.60, 18,004.50 and 7,382.86 is: 10,187.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.60 : 18,004.50 = 7,382.86 : x
  2. Step 2: Convert to fraction form
    13,047.60/18,004.50 = 7,382.86/x
  3. Step 3: Cross multiply
    13,047.60x = 18,004.50 × 7,382.86
  4. Step 4: Simplify right side
    13,047.60x = 132,924,702.87
  5. Step 5: Solve for x
    x = 132,924,702.87/13,047.60
  6. Step 6: Final answer
    x = 10,187.67

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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.