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Finding the Fourth Proportional to 9,084.84, 13,628.84 and 3,541.20

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Solution

The fourth proportional to 9,084.84, 13,628.84 and 3,541.20 is: 5,312.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084.84 : 13,628.84 = 3,541.20 : x
  2. Step 2: Convert to fraction form
    9,084.84/13,628.84 = 3,541.20/x
  3. Step 3: Cross multiply
    9,084.84x = 13,628.84 × 3,541.20
  4. Step 4: Simplify right side
    9,084.84x = 48,262,448.21
  5. Step 5: Solve for x
    x = 48,262,448.21/9,084.84
  6. Step 6: Final answer
    x = 5,312.42

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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.