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Finding the Fourth Proportional to 7,082.25, 10,623.42 and 2,465.25

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Solution

The fourth proportional to 7,082.25, 10,623.42 and 2,465.25 is: 3,697.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.25 : 10,623.42 = 2,465.25 : x
  2. Step 2: Convert to fraction form
    7,082.25/10,623.42 = 2,465.25/x
  3. Step 3: Cross multiply
    7,082.25x = 10,623.42 × 2,465.25
  4. Step 4: Simplify right side
    7,082.25x = 26,189,386.16
  5. Step 5: Solve for x
    x = 26,189,386.16/7,082.25
  6. Step 6: Final answer
    x = 3,697.89

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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.