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Finding the Fourth Proportional to 9,216.48, 13,828.48 and 4,836.80

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Solution

The fourth proportional to 9,216.48, 13,828.48 and 4,836.80 is: 7,257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.48 : 13,828.48 = 4,836.80 : x
  2. Step 2: Convert to fraction form
    9,216.48/13,828.48 = 4,836.80/x
  3. Step 3: Cross multiply
    9,216.48x = 13,828.48 × 4,836.80
  4. Step 4: Simplify right side
    9,216.48x = 66,885,592.06
  5. Step 5: Solve for x
    x = 66,885,592.06/9,216.48
  6. Step 6: Final answer
    x = 7,257.17

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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.