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Finding the Fourth Proportional to 9,254.64, 13,848.99 and 6,783.33

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Solution

The fourth proportional to 9,254.64, 13,848.99 and 6,783.33 is: 10,150.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.64 : 13,848.99 = 6,783.33 : x
  2. Step 2: Convert to fraction form
    9,254.64/13,848.99 = 6,783.33/x
  3. Step 3: Cross multiply
    9,254.64x = 13,848.99 × 6,783.33
  4. Step 4: Simplify right side
    9,254.64x = 93,942,269.34
  5. Step 5: Solve for x
    x = 93,942,269.34/9,254.64
  6. Step 6: Final answer
    x = 10,150.83

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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.