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Finding the Fourth Proportional to 6,488.91, 9,733.23 and 2,106.36

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Solution

The fourth proportional to 6,488.91, 9,733.23 and 2,106.36 is: 3,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.91 : 9,733.23 = 2,106.36 : x
  2. Step 2: Convert to fraction form
    6,488.91/9,733.23 = 2,106.36/x
  3. Step 3: Cross multiply
    6,488.91x = 9,733.23 × 2,106.36
  4. Step 4: Simplify right side
    6,488.91x = 20,501,686.34
  5. Step 5: Solve for x
    x = 20,501,686.34/6,488.91
  6. Step 6: Final answer
    x = 3,159.50

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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.