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Finding the Fourth Proportional to 8,359.84, 11,537.88 and 4,824.16

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Solution

The fourth proportional to 8,359.84, 11,537.88 and 4,824.16 is: 6,658.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,359.84 : 11,537.88 = 4,824.16 : x
  2. Step 2: Convert to fraction form
    8,359.84/11,537.88 = 4,824.16/x
  3. Step 3: Cross multiply
    8,359.84x = 11,537.88 × 4,824.16
  4. Step 4: Simplify right side
    8,359.84x = 55,660,579.18
  5. Step 5: Solve for x
    x = 55,660,579.18/8,359.84
  6. Step 6: Final answer
    x = 6,658.09

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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.