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Finding the Fourth Proportional to 14,494.71, 20,002.14 and 8,207.10

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Solution

The fourth proportional to 14,494.71, 20,002.14 and 8,207.10 is: 11,325.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,494.71 : 20,002.14 = 8,207.10 : x
  2. Step 2: Convert to fraction form
    14,494.71/20,002.14 = 8,207.10/x
  3. Step 3: Cross multiply
    14,494.71x = 20,002.14 × 8,207.10
  4. Step 4: Simplify right side
    14,494.71x = 164,159,563.19
  5. Step 5: Solve for x
    x = 164,159,563.19/14,494.71
  6. Step 6: Final answer
    x = 11,325.48

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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.