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Finding the Fourth Proportional to 9,101.70, 13,636.35 and 7,449.30

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Solution

The fourth proportional to 9,101.70, 13,636.35 and 7,449.30 is: 11,160.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.70 : 13,636.35 = 7,449.30 : x
  2. Step 2: Convert to fraction form
    9,101.70/13,636.35 = 7,449.30/x
  3. Step 3: Cross multiply
    9,101.70x = 13,636.35 × 7,449.30
  4. Step 4: Simplify right side
    9,101.70x = 101,581,262.06
  5. Step 5: Solve for x
    x = 101,581,262.06/9,101.70
  6. Step 6: Final answer
    x = 11,160.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.