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Finding the Fourth Proportional to 7,858.72, 10,854.48 and 6,823.72

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Solution

The fourth proportional to 7,858.72, 10,854.48 and 6,823.72 is: 9,424.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.72 : 10,854.48 = 6,823.72 : x
  2. Step 2: Convert to fraction form
    7,858.72/10,854.48 = 6,823.72/x
  3. Step 3: Cross multiply
    7,858.72x = 10,854.48 × 6,823.72
  4. Step 4: Simplify right side
    7,858.72x = 74,067,932.27
  5. Step 5: Solve for x
    x = 74,067,932.27/7,858.72
  6. Step 6: Final answer
    x = 9,424.94

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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.