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Finding the Fourth Proportional to 15,735.96, 23,598 and 4,639.50

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Solution

The fourth proportional to 15,735.96, 23,598 and 4,639.50 is: 6,957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735.96 : 23,598 = 4,639.50 : x
  2. Step 2: Convert to fraction form
    15,735.96/23,598 = 4,639.50/x
  3. Step 3: Cross multiply
    15,735.96x = 23,598 × 4,639.50
  4. Step 4: Simplify right side
    15,735.96x = 109,482,921
  5. Step 5: Solve for x
    x = 109,482,921/15,735.96
  6. Step 6: Final answer
    x = 6,957.50

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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.