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Finding the Fourth Proportional to 28,274.98, 42,382.94 and 9,548.53

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Solution

The fourth proportional to 28,274.98, 42,382.94 and 9,548.53 is: 14,312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,274.98 : 42,382.94 = 9,548.53 : x
  2. Step 2: Convert to fraction form
    28,274.98/42,382.94 = 9,548.53/x
  3. Step 3: Cross multiply
    28,274.98x = 42,382.94 × 9,548.53
  4. Step 4: Simplify right side
    28,274.98x = 404,694,774.08
  5. Step 5: Solve for x
    x = 404,694,774.08/28,274.98
  6. Step 6: Final answer
    x = 14,312.82

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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.