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Finding the Fourth Proportional to 7,225.94, 9,971.00 and 4,082.13

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Solution

The fourth proportional to 7,225.94, 9,971.00 and 4,082.13 is: 5,632.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.94 : 9,971.00 = 4,082.13 : x
  2. Step 2: Convert to fraction form
    7,225.94/9,971.00 = 4,082.13/x
  3. Step 3: Cross multiply
    7,225.94x = 9,971.00 × 4,082.13
  4. Step 4: Simplify right side
    7,225.94x = 40,702,913.13
  5. Step 5: Solve for x
    x = 40,702,913.13/7,225.94
  6. Step 6: Final answer
    x = 5,632.89

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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.