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Finding the Fourth Proportional to 17,657.60, 26,464.80 and 7,786.40

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Solution

The fourth proportional to 17,657.60, 26,464.80 and 7,786.40 is: 11,670.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.60 : 26,464.80 = 7,786.40 : x
  2. Step 2: Convert to fraction form
    17,657.60/26,464.80 = 7,786.40/x
  3. Step 3: Cross multiply
    17,657.60x = 26,464.80 × 7,786.40
  4. Step 4: Simplify right side
    17,657.60x = 206,065,518.72
  5. Step 5: Solve for x
    x = 206,065,518.72/17,657.60
  6. Step 6: Final answer
    x = 11,670.08

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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.