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Finding the Fourth Proportional to 10,600.02, 15,904.92 and 5,409.54

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Solution

The fourth proportional to 10,600.02, 15,904.92 and 5,409.54 is: 8,116.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.02 : 15,904.92 = 5,409.54 : x
  2. Step 2: Convert to fraction form
    10,600.02/15,904.92 = 5,409.54/x
  3. Step 3: Cross multiply
    10,600.02x = 15,904.92 × 5,409.54
  4. Step 4: Simplify right side
    10,600.02x = 86,038,300.94
  5. Step 5: Solve for x
    x = 86,038,300.94/10,600.02
  6. Step 6: Final answer
    x = 8,116.81

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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.