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Finding the Fourth Proportional to 14,617.16, 20,171.64 and 7,902.74

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Solution

The fourth proportional to 14,617.16, 20,171.64 and 7,902.74 is: 10,905.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,617.16 : 20,171.64 = 7,902.74 : x
  2. Step 2: Convert to fraction form
    14,617.16/20,171.64 = 7,902.74/x
  3. Step 3: Cross multiply
    14,617.16x = 20,171.64 × 7,902.74
  4. Step 4: Simplify right side
    14,617.16x = 159,411,226.29
  5. Step 5: Solve for x
    x = 159,411,226.29/14,617.16
  6. Step 6: Final answer
    x = 10,905.76

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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.