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Finding the Fourth Proportional to 9,662.40, 14,496.30 and 4,118.40

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Solution

The fourth proportional to 9,662.40, 14,496.30 and 4,118.40 is: 6,178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.40 : 14,496.30 = 4,118.40 : x
  2. Step 2: Convert to fraction form
    9,662.40/14,496.30 = 4,118.40/x
  3. Step 3: Cross multiply
    9,662.40x = 14,496.30 × 4,118.40
  4. Step 4: Simplify right side
    9,662.40x = 59,701,561.92
  5. Step 5: Solve for x
    x = 59,701,561.92/9,662.40
  6. Step 6: Final answer
    x = 6,178.75

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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.