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Finding the Fourth Proportional to 10,783.60, 16,189.80 and 8,594.80

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Solution

The fourth proportional to 10,783.60, 16,189.80 and 8,594.80 is: 12,903.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.60 : 16,189.80 = 8,594.80 : x
  2. Step 2: Convert to fraction form
    10,783.60/16,189.80 = 8,594.80/x
  3. Step 3: Cross multiply
    10,783.60x = 16,189.80 × 8,594.80
  4. Step 4: Simplify right side
    10,783.60x = 139,148,093.04
  5. Step 5: Solve for x
    x = 139,148,093.04/10,783.60
  6. Step 6: Final answer
    x = 12,903.68

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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.