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Finding the Fourth Proportional to 14,952.96, 20,645.02 and 9,296.16

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Solution

The fourth proportional to 14,952.96, 20,645.02 and 9,296.16 is: 12,834.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,952.96 : 20,645.02 = 9,296.16 : x
  2. Step 2: Convert to fraction form
    14,952.96/20,645.02 = 9,296.16/x
  3. Step 3: Cross multiply
    14,952.96x = 20,645.02 × 9,296.16
  4. Step 4: Simplify right side
    14,952.96x = 191,919,409.12
  5. Step 5: Solve for x
    x = 191,919,409.12/14,952.96
  6. Step 6: Final answer
    x = 12,834.88

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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.