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Finding the Fourth Proportional to 10,349.96, 14,303.22 and 9,197.96

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Solution

The fourth proportional to 10,349.96, 14,303.22 and 9,197.96 is: 12,711.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349.96 : 14,303.22 = 9,197.96 : x
  2. Step 2: Convert to fraction form
    10,349.96/14,303.22 = 9,197.96/x
  3. Step 3: Cross multiply
    10,349.96x = 14,303.22 × 9,197.96
  4. Step 4: Simplify right side
    10,349.96x = 131,560,445.43
  5. Step 5: Solve for x
    x = 131,560,445.43/10,349.96
  6. Step 6: Final answer
    x = 12,711.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.