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Finding the Fourth Proportional to 14,275.14, 19,701 and 8,226.30

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Solution

The fourth proportional to 14,275.14, 19,701 and 8,226.30 is: 11,353.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,275.14 : 19,701 = 8,226.30 : x
  2. Step 2: Convert to fraction form
    14,275.14/19,701 = 8,226.30/x
  3. Step 3: Cross multiply
    14,275.14x = 19,701 × 8,226.30
  4. Step 4: Simplify right side
    14,275.14x = 162,066,336.30
  5. Step 5: Solve for x
    x = 162,066,336.30/14,275.14
  6. Step 6: Final answer
    x = 11,353.05

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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.