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Finding the Fourth Proportional to 9,574.88, 14,268.34 and 9,261.68

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Solution

The fourth proportional to 9,574.88, 14,268.34 and 9,261.68 is: 13,801.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.88 : 14,268.34 = 9,261.68 : x
  2. Step 2: Convert to fraction form
    9,574.88/14,268.34 = 9,261.68/x
  3. Step 3: Cross multiply
    9,574.88x = 14,268.34 × 9,261.68
  4. Step 4: Simplify right side
    9,574.88x = 132,148,799.21
  5. Step 5: Solve for x
    x = 132,148,799.21/9,574.88
  6. Step 6: Final answer
    x = 13,801.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.