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Finding the Fourth Proportional to 14,913.10, 22,344.05 and 9,716.30

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Solution

The fourth proportional to 14,913.10, 22,344.05 and 9,716.30 is: 14,557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,913.10 : 22,344.05 = 9,716.30 : x
  2. Step 2: Convert to fraction form
    14,913.10/22,344.05 = 9,716.30/x
  3. Step 3: Cross multiply
    14,913.10x = 22,344.05 × 9,716.30
  4. Step 4: Simplify right side
    14,913.10x = 217,101,493.02
  5. Step 5: Solve for x
    x = 217,101,493.02/14,913.10
  6. Step 6: Final answer
    x = 14,557.77

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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.