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Finding the Fourth Proportional to 9,783.68, 14,662.24 and 4,507.08

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Solution

The fourth proportional to 9,783.68, 14,662.24 and 4,507.08 is: 6,754.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.68 : 14,662.24 = 4,507.08 : x
  2. Step 2: Convert to fraction form
    9,783.68/14,662.24 = 4,507.08/x
  3. Step 3: Cross multiply
    9,783.68x = 14,662.24 × 4,507.08
  4. Step 4: Simplify right side
    9,783.68x = 66,083,888.66
  5. Step 5: Solve for x
    x = 66,083,888.66/9,783.68
  6. Step 6: Final answer
    x = 6,754.50

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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.