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Finding the Fourth Proportional to 10,672.64, 16,032.08 and 9,032.48

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Solution

The fourth proportional to 10,672.64, 16,032.08 and 9,032.48 is: 13,568.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.64 : 16,032.08 = 9,032.48 : x
  2. Step 2: Convert to fraction form
    10,672.64/16,032.08 = 9,032.48/x
  3. Step 3: Cross multiply
    10,672.64x = 16,032.08 × 9,032.48
  4. Step 4: Simplify right side
    10,672.64x = 144,809,441.96
  5. Step 5: Solve for x
    x = 144,809,441.96/10,672.64
  6. Step 6: Final answer
    x = 13,568.29

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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.