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Finding the Fourth Proportional to 14,268.80, 21,402.80 and 6,477.60

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Solution

The fourth proportional to 14,268.80, 21,402.80 and 6,477.60 is: 9,716.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,268.80 : 21,402.80 = 6,477.60 : x
  2. Step 2: Convert to fraction form
    14,268.80/21,402.80 = 6,477.60/x
  3. Step 3: Cross multiply
    14,268.80x = 21,402.80 × 6,477.60
  4. Step 4: Simplify right side
    14,268.80x = 138,638,777.28
  5. Step 5: Solve for x
    x = 138,638,777.28/14,268.80
  6. Step 6: Final answer
    x = 9,716.22

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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.