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Finding the Fourth Proportional to 9,924.96, 13,696.38 and 5,946.24

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Solution

The fourth proportional to 9,924.96, 13,696.38 and 5,946.24 is: 8,205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.96 : 13,696.38 = 5,946.24 : x
  2. Step 2: Convert to fraction form
    9,924.96/13,696.38 = 5,946.24/x
  3. Step 3: Cross multiply
    9,924.96x = 13,696.38 × 5,946.24
  4. Step 4: Simplify right side
    9,924.96x = 81,441,962.61
  5. Step 5: Solve for x
    x = 81,441,962.61/9,924.96
  6. Step 6: Final answer
    x = 8,205.77

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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.