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Finding the Fourth Proportional to 9,662.30, 14,482.65 and 4,114.70

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Solution

The fourth proportional to 9,662.30, 14,482.65 and 4,114.70 is: 6,167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.30 : 14,482.65 = 4,114.70 : x
  2. Step 2: Convert to fraction form
    9,662.30/14,482.65 = 4,114.70/x
  3. Step 3: Cross multiply
    9,662.30x = 14,482.65 × 4,114.70
  4. Step 4: Simplify right side
    9,662.30x = 59,591,759.96
  5. Step 5: Solve for x
    x = 59,591,759.96/9,662.30
  6. Step 6: Final answer
    x = 6,167.45

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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.