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Finding the Fourth Proportional to 11,777.60, 17,666.40 and 8,321.60

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Solution

The fourth proportional to 11,777.60, 17,666.40 and 8,321.60 is: 12,482.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.60 : 17,666.40 = 8,321.60 : x
  2. Step 2: Convert to fraction form
    11,777.60/17,666.40 = 8,321.60/x
  3. Step 3: Cross multiply
    11,777.60x = 17,666.40 × 8,321.60
  4. Step 4: Simplify right side
    11,777.60x = 147,012,714.24
  5. Step 5: Solve for x
    x = 147,012,714.24/11,777.60
  6. Step 6: Final answer
    x = 12,482.40

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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.