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Finding the Fourth Proportional to 13,962.53, 19,267.89 and 7,674.89

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Solution

The fourth proportional to 13,962.53, 19,267.89 and 7,674.89 is: 10,591.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,962.53 : 19,267.89 = 7,674.89 : x
  2. Step 2: Convert to fraction form
    13,962.53/19,267.89 = 7,674.89/x
  3. Step 3: Cross multiply
    13,962.53x = 19,267.89 × 7,674.89
  4. Step 4: Simplify right side
    13,962.53x = 147,878,936.28
  5. Step 5: Solve for x
    x = 147,878,936.28/13,962.53
  6. Step 6: Final answer
    x = 10,591.13

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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.