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Finding the Fourth Proportional to 10,658.96, 14,631.10 and 9,453.68

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Solution

The fourth proportional to 10,658.96, 14,631.10 and 9,453.68 is: 12,976.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.96 : 14,631.10 = 9,453.68 : x
  2. Step 2: Convert to fraction form
    10,658.96/14,631.10 = 9,453.68/x
  3. Step 3: Cross multiply
    10,658.96x = 14,631.10 × 9,453.68
  4. Step 4: Simplify right side
    10,658.96x = 138,317,737.45
  5. Step 5: Solve for x
    x = 138,317,737.45/10,658.96
  6. Step 6: Final answer
    x = 12,976.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.