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Finding the Fourth Proportional to 9,283, 13,924.70 and 4,349.92

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Solution

The fourth proportional to 9,283, 13,924.70 and 4,349.92 is: 6,524.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283 : 13,924.70 = 4,349.92 : x
  2. Step 2: Convert to fraction form
    9,283/13,924.70 = 4,349.92/x
  3. Step 3: Cross multiply
    9,283x = 13,924.70 × 4,349.92
  4. Step 4: Simplify right side
    9,283x = 60,571,331.02
  5. Step 5: Solve for x
    x = 60,571,331.02/9,283
  6. Step 6: Final answer
    x = 6,524.97

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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.