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Finding the Fourth Proportional to 10,230.08, 15,324.96 and 9,510.08

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Solution

The fourth proportional to 10,230.08, 15,324.96 and 9,510.08 is: 14,246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.08 : 15,324.96 = 9,510.08 : x
  2. Step 2: Convert to fraction form
    10,230.08/15,324.96 = 9,510.08/x
  3. Step 3: Cross multiply
    10,230.08x = 15,324.96 × 9,510.08
  4. Step 4: Simplify right side
    10,230.08x = 145,741,595.60
  5. Step 5: Solve for x
    x = 145,741,595.60/10,230.08
  6. Step 6: Final answer
    x = 14,246.38

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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.