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Finding the Fourth Proportional to 6,985.38, 10,477.99 and 2,543.02

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Solution

The fourth proportional to 6,985.38, 10,477.99 and 2,543.02 is: 3,814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.38 : 10,477.99 = 2,543.02 : x
  2. Step 2: Convert to fraction form
    6,985.38/10,477.99 = 2,543.02/x
  3. Step 3: Cross multiply
    6,985.38x = 10,477.99 × 2,543.02
  4. Step 4: Simplify right side
    6,985.38x = 26,645,738.13
  5. Step 5: Solve for x
    x = 26,645,738.13/6,985.38
  6. Step 6: Final answer
    x = 3,814.50

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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.