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Finding the Fourth Proportional to 14,756.00, 20,363.76 and 8,382.87

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Solution

The fourth proportional to 14,756.00, 20,363.76 and 8,382.87 is: 11,568.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,756.00 : 20,363.76 = 8,382.87 : x
  2. Step 2: Convert to fraction form
    14,756.00/20,363.76 = 8,382.87/x
  3. Step 3: Cross multiply
    14,756.00x = 20,363.76 × 8,382.87
  4. Step 4: Simplify right side
    14,756.00x = 170,706,752.79
  5. Step 5: Solve for x
    x = 170,706,752.79/14,756.00
  6. Step 6: Final answer
    x = 11,568.64

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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.