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Finding the Fourth Proportional to 11,937.88, 16,482.48 and 7,463.80

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Solution

The fourth proportional to 11,937.88, 16,482.48 and 7,463.80 is: 10,305.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.88 : 16,482.48 = 7,463.80 : x
  2. Step 2: Convert to fraction form
    11,937.88/16,482.48 = 7,463.80/x
  3. Step 3: Cross multiply
    11,937.88x = 16,482.48 × 7,463.80
  4. Step 4: Simplify right side
    11,937.88x = 123,021,934.22
  5. Step 5: Solve for x
    x = 123,021,934.22/11,937.88
  6. Step 6: Final answer
    x = 10,305.17

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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.