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Finding the Fourth Proportional to 9,742.40, 13,444.11 and 5,494.34

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Solution

The fourth proportional to 9,742.40, 13,444.11 and 5,494.34 is: 7,581.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.40 : 13,444.11 = 5,494.34 : x
  2. Step 2: Convert to fraction form
    9,742.40/13,444.11 = 5,494.34/x
  3. Step 3: Cross multiply
    9,742.40x = 13,444.11 × 5,494.34
  4. Step 4: Simplify right side
    9,742.40x = 73,866,511.34
  5. Step 5: Solve for x
    x = 73,866,511.34/9,742.40
  6. Step 6: Final answer
    x = 7,581.96

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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.