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Finding the Fourth Proportional to 8,298.84, 11,453.97 and 4,943.61

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Solution

The fourth proportional to 8,298.84, 11,453.97 and 4,943.61 is: 6,823.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.84 : 11,453.97 = 4,943.61 : x
  2. Step 2: Convert to fraction form
    8,298.84/11,453.97 = 4,943.61/x
  3. Step 3: Cross multiply
    8,298.84x = 11,453.97 × 4,943.61
  4. Step 4: Simplify right side
    8,298.84x = 56,623,960.63
  5. Step 5: Solve for x
    x = 56,623,960.63/8,298.84
  6. Step 6: Final answer
    x = 6,823.12

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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.