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Finding the Fourth Proportional to 12,523.60, 17,282.48 and 6,858.32

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Solution

The fourth proportional to 12,523.60, 17,282.48 and 6,858.32 is: 9,464.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.60 : 17,282.48 = 6,858.32 : x
  2. Step 2: Convert to fraction form
    12,523.60/17,282.48 = 6,858.32/x
  3. Step 3: Cross multiply
    12,523.60x = 17,282.48 × 6,858.32
  4. Step 4: Simplify right side
    12,523.60x = 118,528,778.23
  5. Step 5: Solve for x
    x = 118,528,778.23/12,523.60
  6. Step 6: Final answer
    x = 9,464.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.