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Finding the Fourth Proportional to 9,273.96, 12,798 and 5,082.30

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Solution

The fourth proportional to 9,273.96, 12,798 and 5,082.30 is: 7,013.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,273.96 : 12,798 = 5,082.30 : x
  2. Step 2: Convert to fraction form
    9,273.96/12,798 = 5,082.30/x
  3. Step 3: Cross multiply
    9,273.96x = 12,798 × 5,082.30
  4. Step 4: Simplify right side
    9,273.96x = 65,043,275.40
  5. Step 5: Solve for x
    x = 65,043,275.40/9,273.96
  6. Step 6: Final answer
    x = 7,013.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.