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Finding the Fourth Proportional to 9,993.76, 14,986.20 and 3,066.64

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Solution

The fourth proportional to 9,993.76, 14,986.20 and 3,066.64 is: 4,598.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.76 : 14,986.20 = 3,066.64 : x
  2. Step 2: Convert to fraction form
    9,993.76/14,986.20 = 3,066.64/x
  3. Step 3: Cross multiply
    9,993.76x = 14,986.20 × 3,066.64
  4. Step 4: Simplify right side
    9,993.76x = 45,957,280.37
  5. Step 5: Solve for x
    x = 45,957,280.37/9,993.76
  6. Step 6: Final answer
    x = 4,598.60

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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.