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Finding the Fourth Proportional to 9,032.68, 13,548.68 and 3,189.14

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Solution

The fourth proportional to 9,032.68, 13,548.68 and 3,189.14 is: 4,783.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.68 : 13,548.68 = 3,189.14 : x
  2. Step 2: Convert to fraction form
    9,032.68/13,548.68 = 3,189.14/x
  3. Step 3: Cross multiply
    9,032.68x = 13,548.68 × 3,189.14
  4. Step 4: Simplify right side
    9,032.68x = 43,208,637.34
  5. Step 5: Solve for x
    x = 43,208,637.34/9,032.68
  6. Step 6: Final answer
    x = 4,783.59

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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.