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Finding the Fourth Proportional to 7,423.83, 11,082.67 and 7,164.24

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Solution

The fourth proportional to 7,423.83, 11,082.67 and 7,164.24 is: 10,695.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,423.83 : 11,082.67 = 7,164.24 : x
  2. Step 2: Convert to fraction form
    7,423.83/11,082.67 = 7,164.24/x
  3. Step 3: Cross multiply
    7,423.83x = 11,082.67 × 7,164.24
  4. Step 4: Simplify right side
    7,423.83x = 79,398,907.72
  5. Step 5: Solve for x
    x = 79,398,907.72/7,423.83
  6. Step 6: Final answer
    x = 10,695.14

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Half scale
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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.