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Finding the Fourth Proportional to 14,841, 20,474.90 and 9,807.64

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Solution

The fourth proportional to 14,841, 20,474.90 and 9,807.64 is: 13,530.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,841 : 20,474.90 = 9,807.64 : x
  2. Step 2: Convert to fraction form
    14,841/20,474.90 = 9,807.64/x
  3. Step 3: Cross multiply
    14,841x = 20,474.90 × 9,807.64
  4. Step 4: Simplify right side
    14,841x = 200,810,448.24
  5. Step 5: Solve for x
    x = 200,810,448.24/14,841
  6. Step 6: Final answer
    x = 13,530.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.