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Finding the Fourth Proportional to 14,974.71, 20,665.35 and 9,005.25

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Solution

The fourth proportional to 14,974.71, 20,665.35 and 9,005.25 is: 12,427.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,974.71 : 20,665.35 = 9,005.25 : x
  2. Step 2: Convert to fraction form
    14,974.71/20,665.35 = 9,005.25/x
  3. Step 3: Cross multiply
    14,974.71x = 20,665.35 × 9,005.25
  4. Step 4: Simplify right side
    14,974.71x = 186,096,643.09
  5. Step 5: Solve for x
    x = 186,096,643.09/14,974.71
  6. Step 6: Final answer
    x = 12,427.40

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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.