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Finding the Fourth Proportional to 10,675.41, 15,991.68 and 9,803.45

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Solution

The fourth proportional to 10,675.41, 15,991.68 and 9,803.45 is: 14,685.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.41 : 15,991.68 = 9,803.45 : x
  2. Step 2: Convert to fraction form
    10,675.41/15,991.68 = 9,803.45/x
  3. Step 3: Cross multiply
    10,675.41x = 15,991.68 × 9,803.45
  4. Step 4: Simplify right side
    10,675.41x = 156,773,635.30
  5. Step 5: Solve for x
    x = 156,773,635.30/10,675.41
  6. Step 6: Final answer
    x = 14,685.50

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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.