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Finding the Fourth Proportional to 9,657.20, 14,482.20 and 3,812.60

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Solution

The fourth proportional to 9,657.20, 14,482.20 and 3,812.60 is: 5,717.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.20 : 14,482.20 = 3,812.60 : x
  2. Step 2: Convert to fraction form
    9,657.20/14,482.20 = 3,812.60/x
  3. Step 3: Cross multiply
    9,657.20x = 14,482.20 × 3,812.60
  4. Step 4: Simplify right side
    9,657.20x = 55,214,835.72
  5. Step 5: Solve for x
    x = 55,214,835.72/9,657.20
  6. Step 6: Final answer
    x = 5,717.48

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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.