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Finding the Fourth Proportional to 24,538.14, 36,806.81 and 6,070.14

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Solution

The fourth proportional to 24,538.14, 36,806.81 and 6,070.14 is: 9,105.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,538.14 : 36,806.81 = 6,070.14 : x
  2. Step 2: Convert to fraction form
    24,538.14/36,806.81 = 6,070.14/x
  3. Step 3: Cross multiply
    24,538.14x = 36,806.81 × 6,070.14
  4. Step 4: Simplify right side
    24,538.14x = 223,422,459.30
  5. Step 5: Solve for x
    x = 223,422,459.30/24,538.14
  6. Step 6: Final answer
    x = 9,105.11

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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.