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Finding the Fourth Proportional to 6,123.65, 8,459.16 and 5,896.07

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Solution

The fourth proportional to 6,123.65, 8,459.16 and 5,896.07 is: 8,144.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.65 : 8,459.16 = 5,896.07 : x
  2. Step 2: Convert to fraction form
    6,123.65/8,459.16 = 5,896.07/x
  3. Step 3: Cross multiply
    6,123.65x = 8,459.16 × 5,896.07
  4. Step 4: Simplify right side
    6,123.65x = 49,875,757.21
  5. Step 5: Solve for x
    x = 49,875,757.21/6,123.65
  6. Step 6: Final answer
    x = 8,144.78

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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.