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Finding the Fourth Proportional to 10,380.96, 15,594.96 and 6,009.12

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Solution

The fourth proportional to 10,380.96, 15,594.96 and 6,009.12 is: 9,027.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.96 : 15,594.96 = 6,009.12 : x
  2. Step 2: Convert to fraction form
    10,380.96/15,594.96 = 6,009.12/x
  3. Step 3: Cross multiply
    10,380.96x = 15,594.96 × 6,009.12
  4. Step 4: Simplify right side
    10,380.96x = 93,711,986.04
  5. Step 5: Solve for x
    x = 93,711,986.04/10,380.96
  6. Step 6: Final answer
    x = 9,027.29

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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.