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Finding the Fourth Proportional to 10,004.76, 13,806.58 and 5,813

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Solution

The fourth proportional to 10,004.76, 13,806.58 and 5,813 is: 8,021.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.76 : 13,806.58 = 5,813 : x
  2. Step 2: Convert to fraction form
    10,004.76/13,806.58 = 5,813/x
  3. Step 3: Cross multiply
    10,004.76x = 13,806.58 × 5,813
  4. Step 4: Simplify right side
    10,004.76x = 80,257,649.54
  5. Step 5: Solve for x
    x = 80,257,649.54/10,004.76
  6. Step 6: Final answer
    x = 8,021.95

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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.