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Finding the Fourth Proportional to 7,333, 10,084.71 and 5,823.16

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Solution

The fourth proportional to 7,333, 10,084.71 and 5,823.16 is: 8,008.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,333 : 10,084.71 = 5,823.16 : x
  2. Step 2: Convert to fraction form
    7,333/10,084.71 = 5,823.16/x
  3. Step 3: Cross multiply
    7,333x = 10,084.71 × 5,823.16
  4. Step 4: Simplify right side
    7,333x = 58,724,879.88
  5. Step 5: Solve for x
    x = 58,724,879.88/7,333
  6. Step 6: Final answer
    x = 8,008.30

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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.