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Finding the Fourth Proportional to 7,715.82, 11,506.29 and 6,865.32

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Solution

The fourth proportional to 7,715.82, 11,506.29 and 6,865.32 is: 10,237.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.82 : 11,506.29 = 6,865.32 : x
  2. Step 2: Convert to fraction form
    7,715.82/11,506.29 = 6,865.32/x
  3. Step 3: Cross multiply
    7,715.82x = 11,506.29 × 6,865.32
  4. Step 4: Simplify right side
    7,715.82x = 78,994,367.21
  5. Step 5: Solve for x
    x = 78,994,367.21/7,715.82
  6. Step 6: Final answer
    x = 10,237.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.