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Finding the Fourth Proportional to 10,493.94, 15,659.06 and 9,562.44

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Solution

The fourth proportional to 10,493.94, 15,659.06 and 9,562.44 is: 14,269.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.94 : 15,659.06 = 9,562.44 : x
  2. Step 2: Convert to fraction form
    10,493.94/15,659.06 = 9,562.44/x
  3. Step 3: Cross multiply
    10,493.94x = 15,659.06 × 9,562.44
  4. Step 4: Simplify right side
    10,493.94x = 149,738,821.71
  5. Step 5: Solve for x
    x = 149,738,821.71/10,493.94
  6. Step 6: Final answer
    x = 14,269.08

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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.