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Finding the Fourth Proportional to 6,805.60, 10,208.46 and 1,875.50

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Solution

The fourth proportional to 6,805.60, 10,208.46 and 1,875.50 is: 2,813.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.60 : 10,208.46 = 1,875.50 : x
  2. Step 2: Convert to fraction form
    6,805.60/10,208.46 = 1,875.50/x
  3. Step 3: Cross multiply
    6,805.60x = 10,208.46 × 1,875.50
  4. Step 4: Simplify right side
    6,805.60x = 19,145,966.73
  5. Step 5: Solve for x
    x = 19,145,966.73/6,805.60
  6. Step 6: Final answer
    x = 2,813.27

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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.