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Finding the Fourth Proportional to 7,082.48, 9,769.20 and 4,724.48

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Solution

The fourth proportional to 7,082.48, 9,769.20 and 4,724.48 is: 6,516.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.48 : 9,769.20 = 4,724.48 : x
  2. Step 2: Convert to fraction form
    7,082.48/9,769.20 = 4,724.48/x
  3. Step 3: Cross multiply
    7,082.48x = 9,769.20 × 4,724.48
  4. Step 4: Simplify right side
    7,082.48x = 46,154,390.02
  5. Step 5: Solve for x
    x = 46,154,390.02/7,082.48
  6. Step 6: Final answer
    x = 6,516.70

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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.