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Finding the Fourth Proportional to 7,828.99, 10,797.72 and 6,882.77

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Solution

The fourth proportional to 7,828.99, 10,797.72 and 6,882.77 is: 9,492.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.99 : 10,797.72 = 6,882.77 : x
  2. Step 2: Convert to fraction form
    7,828.99/10,797.72 = 6,882.77/x
  3. Step 3: Cross multiply
    7,828.99x = 10,797.72 × 6,882.77
  4. Step 4: Simplify right side
    7,828.99x = 74,318,169.30
  5. Step 5: Solve for x
    x = 74,318,169.30/7,828.99
  6. Step 6: Final answer
    x = 9,492.69

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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.