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Finding the Fourth Proportional to 13,495.98, 18,624.52 and 7,446.43

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Solution

The fourth proportional to 13,495.98, 18,624.52 and 7,446.43 is: 10,276.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,495.98 : 18,624.52 = 7,446.43 : x
  2. Step 2: Convert to fraction form
    13,495.98/18,624.52 = 7,446.43/x
  3. Step 3: Cross multiply
    13,495.98x = 18,624.52 × 7,446.43
  4. Step 4: Simplify right side
    13,495.98x = 138,686,119.29
  5. Step 5: Solve for x
    x = 138,686,119.29/13,495.98
  6. Step 6: Final answer
    x = 10,276.11

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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.