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Finding the Fourth Proportional to 7,924.52, 10,935.84 and 4,940.35

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Solution

The fourth proportional to 7,924.52, 10,935.84 and 4,940.35 is: 6,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.52 : 10,935.84 = 4,940.35 : x
  2. Step 2: Convert to fraction form
    7,924.52/10,935.84 = 4,940.35/x
  3. Step 3: Cross multiply
    7,924.52x = 10,935.84 × 4,940.35
  4. Step 4: Simplify right side
    7,924.52x = 54,026,877.14
  5. Step 5: Solve for x
    x = 54,026,877.14/7,924.52
  6. Step 6: Final answer
    x = 6,817.68

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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.