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Finding the Fourth Proportional to 9,672.96, 14,507.10 and 3,097.80

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Solution

The fourth proportional to 9,672.96, 14,507.10 and 3,097.80 is: 4,645.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.96 : 14,507.10 = 3,097.80 : x
  2. Step 2: Convert to fraction form
    9,672.96/14,507.10 = 3,097.80/x
  3. Step 3: Cross multiply
    9,672.96x = 14,507.10 × 3,097.80
  4. Step 4: Simplify right side
    9,672.96x = 44,940,094.38
  5. Step 5: Solve for x
    x = 44,940,094.38/9,672.96
  6. Step 6: Final answer
    x = 4,645.95

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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.