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Finding the Fourth Proportional to 10,800, 14,904.05 and 6,084.36

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Solution

The fourth proportional to 10,800, 14,904.05 and 6,084.36 is: 8,396.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,800 : 14,904.05 = 6,084.36 : x
  2. Step 2: Convert to fraction form
    10,800/14,904.05 = 6,084.36/x
  3. Step 3: Cross multiply
    10,800x = 14,904.05 × 6,084.36
  4. Step 4: Simplify right side
    10,800x = 90,681,575.24
  5. Step 5: Solve for x
    x = 90,681,575.24/10,800
  6. Step 6: Final answer
    x = 8,396.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.