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Finding the Fourth Proportional to 9,808.16, 14,716.16 and 4,614.40

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Solution

The fourth proportional to 9,808.16, 14,716.16 and 4,614.40 is: 6,923.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.16 : 14,716.16 = 4,614.40 : x
  2. Step 2: Convert to fraction form
    9,808.16/14,716.16 = 4,614.40/x
  3. Step 3: Cross multiply
    9,808.16x = 14,716.16 × 4,614.40
  4. Step 4: Simplify right side
    9,808.16x = 67,906,248.70
  5. Step 5: Solve for x
    x = 67,906,248.70/9,808.16
  6. Step 6: Final answer
    x = 6,923.44

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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.