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Finding the Fourth Proportional to 10,599, 15,898.92 and 3,203.76

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Solution

The fourth proportional to 10,599, 15,898.92 and 3,203.76 is: 4,805.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599 : 15,898.92 = 3,203.76 : x
  2. Step 2: Convert to fraction form
    10,599/15,898.92 = 3,203.76/x
  3. Step 3: Cross multiply
    10,599x = 15,898.92 × 3,203.76
  4. Step 4: Simplify right side
    10,599x = 50,936,323.94
  5. Step 5: Solve for x
    x = 50,936,323.94/10,599
  6. Step 6: Final answer
    x = 4,805.77

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1.5x scale

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.