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Finding the Fourth Proportional to 17,857.60, 26,779.20 and 6,164.80

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Solution

The fourth proportional to 17,857.60, 26,779.20 and 6,164.80 is: 9,244.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.60 : 26,779.20 = 6,164.80 : x
  2. Step 2: Convert to fraction form
    17,857.60/26,779.20 = 6,164.80/x
  3. Step 3: Cross multiply
    17,857.60x = 26,779.20 × 6,164.80
  4. Step 4: Simplify right side
    17,857.60x = 165,088,412.16
  5. Step 5: Solve for x
    x = 165,088,412.16/17,857.60
  6. Step 6: Final answer
    x = 9,244.71

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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.