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Finding the Fourth Proportional to 7,074.27, 10,595.00 and 6,828.23

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Solution

The fourth proportional to 7,074.27, 10,595.00 and 6,828.23 is: 10,226.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.27 : 10,595.00 = 6,828.23 : x
  2. Step 2: Convert to fraction form
    7,074.27/10,595.00 = 6,828.23/x
  3. Step 3: Cross multiply
    7,074.27x = 10,595.00 × 6,828.23
  4. Step 4: Simplify right side
    7,074.27x = 72,345,140.41
  5. Step 5: Solve for x
    x = 72,345,140.41/7,074.27
  6. Step 6: Final answer
    x = 10,226.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.