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Finding the Fourth Proportional to 7,082, 10,623.06 and 2,465

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Solution

The fourth proportional to 7,082, 10,623.06 and 2,465 is: 3,697.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082 : 10,623.06 = 2,465 : x
  2. Step 2: Convert to fraction form
    7,082/10,623.06 = 2,465/x
  3. Step 3: Cross multiply
    7,082x = 10,623.06 × 2,465
  4. Step 4: Simplify right side
    7,082x = 26,185,842.90
  5. Step 5: Solve for x
    x = 26,185,842.90/7,082
  6. Step 6: Final answer
    x = 3,697.52

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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.