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Finding the Fourth Proportional to 11,019.92, 16,509.81 and 9,838.94

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Solution

The fourth proportional to 11,019.92, 16,509.81 and 9,838.94 is: 14,740.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,019.92 : 16,509.81 = 9,838.94 : x
  2. Step 2: Convert to fraction form
    11,019.92/16,509.81 = 9,838.94/x
  3. Step 3: Cross multiply
    11,019.92x = 16,509.81 × 9,838.94
  4. Step 4: Simplify right side
    11,019.92x = 162,439,030.00
  5. Step 5: Solve for x
    x = 162,439,030.00/11,019.92
  6. Step 6: Final answer
    x = 14,740.49

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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.