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Finding the Fourth Proportional to 10,298.44, 15,453.93 and 9,461.98

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Solution

The fourth proportional to 10,298.44, 15,453.93 and 9,461.98 is: 14,198.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.44 : 15,453.93 = 9,461.98 : x
  2. Step 2: Convert to fraction form
    10,298.44/15,453.93 = 9,461.98/x
  3. Step 3: Cross multiply
    10,298.44x = 15,453.93 × 9,461.98
  4. Step 4: Simplify right side
    10,298.44x = 146,224,699.31
  5. Step 5: Solve for x
    x = 146,224,699.31/10,298.44
  6. Step 6: Final answer
    x = 14,198.73

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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.