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Finding the Fourth Proportional to 7,043.61, 10,564.71 and 1,849.49

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Solution

The fourth proportional to 7,043.61, 10,564.71 and 1,849.49 is: 2,774.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,043.61 : 10,564.71 = 1,849.49 : x
  2. Step 2: Convert to fraction form
    7,043.61/10,564.71 = 1,849.49/x
  3. Step 3: Cross multiply
    7,043.61x = 10,564.71 × 1,849.49
  4. Step 4: Simplify right side
    7,043.61x = 19,539,272.67
  5. Step 5: Solve for x
    x = 19,539,272.67/7,043.61
  6. Step 6: Final answer
    x = 2,774.04

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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.