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Finding the Fourth Proportional to 10,101.10, 15,130.99 and 8,233.64

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Solution

The fourth proportional to 10,101.10, 15,130.99 and 8,233.64 is: 12,333.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101.10 : 15,130.99 = 8,233.64 : x
  2. Step 2: Convert to fraction form
    10,101.10/15,130.99 = 8,233.64/x
  3. Step 3: Cross multiply
    10,101.10x = 15,130.99 × 8,233.64
  4. Step 4: Simplify right side
    10,101.10x = 124,583,141.75
  5. Step 5: Solve for x
    x = 124,583,141.75/10,101.10
  6. Step 6: Final answer
    x = 12,333.62

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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.