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Finding the Fourth Proportional to 8,698.06, 13,046.10 and 2,458.60

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Solution

The fourth proportional to 8,698.06, 13,046.10 and 2,458.60 is: 3,687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,698.06 : 13,046.10 = 2,458.60 : x
  2. Step 2: Convert to fraction form
    8,698.06/13,046.10 = 2,458.60/x
  3. Step 3: Cross multiply
    8,698.06x = 13,046.10 × 2,458.60
  4. Step 4: Simplify right side
    8,698.06x = 32,075,141.46
  5. Step 5: Solve for x
    x = 32,075,141.46/8,698.06
  6. Step 6: Final answer
    x = 3,687.62

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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.