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Finding the Fourth Proportional to 9,614.12, 14,322.58 and 9,261.48

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Solution

The fourth proportional to 9,614.12, 14,322.58 and 9,261.48 is: 13,797.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.12 : 14,322.58 = 9,261.48 : x
  2. Step 2: Convert to fraction form
    9,614.12/14,322.58 = 9,261.48/x
  3. Step 3: Cross multiply
    9,614.12x = 14,322.58 × 9,261.48
  4. Step 4: Simplify right side
    9,614.12x = 132,648,288.22
  5. Step 5: Solve for x
    x = 132,648,288.22/9,614.12
  6. Step 6: Final answer
    x = 13,797.24

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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.