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Finding the Fourth Proportional to 7,833, 10,814.58 and 6,992.27

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Solution

The fourth proportional to 7,833, 10,814.58 and 6,992.27 is: 9,653.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833 : 10,814.58 = 6,992.27 : x
  2. Step 2: Convert to fraction form
    7,833/10,814.58 = 6,992.27/x
  3. Step 3: Cross multiply
    7,833x = 10,814.58 × 6,992.27
  4. Step 4: Simplify right side
    7,833x = 75,618,409.22
  5. Step 5: Solve for x
    x = 75,618,409.22/7,833
  6. Step 6: Final answer
    x = 9,653.82

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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.