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Finding the Fourth Proportional to 8,901.60, 13,346.68 and 4,513

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Solution

The fourth proportional to 8,901.60, 13,346.68 and 4,513 is: 6,766.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,901.60 : 13,346.68 = 4,513 : x
  2. Step 2: Convert to fraction form
    8,901.60/13,346.68 = 4,513/x
  3. Step 3: Cross multiply
    8,901.60x = 13,346.68 × 4,513
  4. Step 4: Simplify right side
    8,901.60x = 60,233,566.84
  5. Step 5: Solve for x
    x = 60,233,566.84/8,901.60
  6. Step 6: Final answer
    x = 6,766.60

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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.