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Finding the Fourth Proportional to 7,808.94, 10,772.60 and 4,823.69

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Solution

The fourth proportional to 7,808.94, 10,772.60 and 4,823.69 is: 6,654.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.94 : 10,772.60 = 4,823.69 : x
  2. Step 2: Convert to fraction form
    7,808.94/10,772.60 = 4,823.69/x
  3. Step 3: Cross multiply
    7,808.94x = 10,772.60 × 4,823.69
  4. Step 4: Simplify right side
    7,808.94x = 51,963,604.91
  5. Step 5: Solve for x
    x = 51,963,604.91/7,808.94
  6. Step 6: Final answer
    x = 6,654.37

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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.