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Finding the Fourth Proportional to 8,303.63, 11,453.13 and 4,943.84

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Solution

The fourth proportional to 8,303.63, 11,453.13 and 4,943.84 is: 6,819.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.63 : 11,453.13 = 4,943.84 : x
  2. Step 2: Convert to fraction form
    8,303.63/11,453.13 = 4,943.84/x
  3. Step 3: Cross multiply
    8,303.63x = 11,453.13 × 4,943.84
  4. Step 4: Simplify right side
    8,303.63x = 56,622,384.95
  5. Step 5: Solve for x
    x = 56,622,384.95/8,303.63
  6. Step 6: Final answer
    x = 6,819.00

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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.