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Finding the Fourth Proportional to 9,967.68, 14,958.24 and 7,504.32

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Solution

The fourth proportional to 9,967.68, 14,958.24 and 7,504.32 is: 11,261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.68 : 14,958.24 = 7,504.32 : x
  2. Step 2: Convert to fraction form
    9,967.68/14,958.24 = 7,504.32/x
  3. Step 3: Cross multiply
    9,967.68x = 14,958.24 × 7,504.32
  4. Step 4: Simplify right side
    9,967.68x = 112,251,419.60
  5. Step 5: Solve for x
    x = 112,251,419.60/9,967.68
  6. Step 6: Final answer
    x = 11,261.54

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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.