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Finding the Fourth Proportional to 9,900.40, 14,845.95 and 5,741.59

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Solution

The fourth proportional to 9,900.40, 14,845.95 and 5,741.59 is: 8,609.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.40 : 14,845.95 = 5,741.59 : x
  2. Step 2: Convert to fraction form
    9,900.40/14,845.95 = 5,741.59/x
  3. Step 3: Cross multiply
    9,900.40x = 14,845.95 × 5,741.59
  4. Step 4: Simplify right side
    9,900.40x = 85,239,358.06
  5. Step 5: Solve for x
    x = 85,239,358.06/9,900.40
  6. Step 6: Final answer
    x = 8,609.69

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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.