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Finding the Fourth Proportional to 10,482.94, 15,725.40 and 3,463

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Solution

The fourth proportional to 10,482.94, 15,725.40 and 3,463 is: 5,194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.94 : 15,725.40 = 3,463 : x
  2. Step 2: Convert to fraction form
    10,482.94/15,725.40 = 3,463/x
  3. Step 3: Cross multiply
    10,482.94x = 15,725.40 × 3,463
  4. Step 4: Simplify right side
    10,482.94x = 54,457,060.20
  5. Step 5: Solve for x
    x = 54,457,060.20/10,482.94
  6. Step 6: Final answer
    x = 5,194.83

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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.