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Finding the Fourth Proportional to 13,314.84, 18,374.28 and 7,725.84

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Solution

The fourth proportional to 13,314.84, 18,374.28 and 7,725.84 is: 10,661.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,314.84 : 18,374.28 = 7,725.84 : x
  2. Step 2: Convert to fraction form
    13,314.84/18,374.28 = 7,725.84/x
  3. Step 3: Cross multiply
    13,314.84x = 18,374.28 × 7,725.84
  4. Step 4: Simplify right side
    13,314.84x = 141,956,747.40
  5. Step 5: Solve for x
    x = 141,956,747.40/13,314.84
  6. Step 6: Final answer
    x = 10,661.54

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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.