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Finding the Fourth Proportional to 11,483.88, 17,225.64 and 6,543

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Solution

The fourth proportional to 11,483.88, 17,225.64 and 6,543 is: 9,814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,483.88 : 17,225.64 = 6,543 : x
  2. Step 2: Convert to fraction form
    11,483.88/17,225.64 = 6,543/x
  3. Step 3: Cross multiply
    11,483.88x = 17,225.64 × 6,543
  4. Step 4: Simplify right side
    11,483.88x = 112,707,362.52
  5. Step 5: Solve for x
    x = 112,707,362.52/11,483.88
  6. Step 6: Final answer
    x = 9,814.40

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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.