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Finding the Fourth Proportional to 28,009.60, 42,014.40 and 8,286.40

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Solution

The fourth proportional to 28,009.60, 42,014.40 and 8,286.40 is: 12,429.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,009.60 : 42,014.40 = 8,286.40 : x
  2. Step 2: Convert to fraction form
    28,009.60/42,014.40 = 8,286.40/x
  3. Step 3: Cross multiply
    28,009.60x = 42,014.40 × 8,286.40
  4. Step 4: Simplify right side
    28,009.60x = 348,148,124.16
  5. Step 5: Solve for x
    x = 348,148,124.16/28,009.60
  6. Step 6: Final answer
    x = 12,429.60

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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.