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Finding the Fourth Proportional to 9,259.84, 13,892.16 and 3,713.38

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Solution

The fourth proportional to 9,259.84, 13,892.16 and 3,713.38 is: 5,571.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.84 : 13,892.16 = 3,713.38 : x
  2. Step 2: Convert to fraction form
    9,259.84/13,892.16 = 3,713.38/x
  3. Step 3: Cross multiply
    9,259.84x = 13,892.16 × 3,713.38
  4. Step 4: Simplify right side
    9,259.84x = 51,586,869.10
  5. Step 5: Solve for x
    x = 51,586,869.10/9,259.84
  6. Step 6: Final answer
    x = 5,571.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.