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Finding the Fourth Proportional to 9,783.93, 14,662.62 and 4,507.33

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Solution

The fourth proportional to 9,783.93, 14,662.62 and 4,507.33 is: 6,754.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.93 : 14,662.62 = 4,507.33 : x
  2. Step 2: Convert to fraction form
    9,783.93/14,662.62 = 4,507.33/x
  3. Step 3: Cross multiply
    9,783.93x = 14,662.62 × 4,507.33
  4. Step 4: Simplify right side
    9,783.93x = 66,089,267.00
  5. Step 5: Solve for x
    x = 66,089,267.00/9,783.93
  6. Step 6: Final answer
    x = 6,754.88

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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.