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Finding the Fourth Proportional to 16,208.50, 24,320.07 and 9,283

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Solution

The fourth proportional to 16,208.50, 24,320.07 and 9,283 is: 13,928.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,208.50 : 24,320.07 = 9,283 : x
  2. Step 2: Convert to fraction form
    16,208.50/24,320.07 = 9,283/x
  3. Step 3: Cross multiply
    16,208.50x = 24,320.07 × 9,283
  4. Step 4: Simplify right side
    16,208.50x = 225,763,209.81
  5. Step 5: Solve for x
    x = 225,763,209.81/16,208.50
  6. Step 6: Final answer
    x = 13,928.69

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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.