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Finding the Fourth Proportional to 6,573.58, 9,862.70 and 4,105.51

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Solution

The fourth proportional to 6,573.58, 9,862.70 and 4,105.51 is: 6,159.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573.58 : 9,862.70 = 4,105.51 : x
  2. Step 2: Convert to fraction form
    6,573.58/9,862.70 = 4,105.51/x
  3. Step 3: Cross multiply
    6,573.58x = 9,862.70 × 4,105.51
  4. Step 4: Simplify right side
    6,573.58x = 40,491,368.29
  5. Step 5: Solve for x
    x = 40,491,368.29/6,573.58
  6. Step 6: Final answer
    x = 6,159.72

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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.