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Finding the Fourth Proportional to 9,273.40, 13,842.64 and 8,588.14

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Solution

The fourth proportional to 9,273.40, 13,842.64 and 8,588.14 is: 12,819.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,273.40 : 13,842.64 = 8,588.14 : x
  2. Step 2: Convert to fraction form
    9,273.40/13,842.64 = 8,588.14/x
  3. Step 3: Cross multiply
    9,273.40x = 13,842.64 × 8,588.14
  4. Step 4: Simplify right side
    9,273.40x = 118,882,530.29
  5. Step 5: Solve for x
    x = 118,882,530.29/9,273.40
  6. Step 6: Final answer
    x = 12,819.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.