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Finding the Fourth Proportional to 18,098.16, 27,130.22 and 9,765.69

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Solution

The fourth proportional to 18,098.16, 27,130.22 and 9,765.69 is: 14,639.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,098.16 : 27,130.22 = 9,765.69 : x
  2. Step 2: Convert to fraction form
    18,098.16/27,130.22 = 9,765.69/x
  3. Step 3: Cross multiply
    18,098.16x = 27,130.22 × 9,765.69
  4. Step 4: Simplify right side
    18,098.16x = 264,945,318.15
  5. Step 5: Solve for x
    x = 264,945,318.15/18,098.16
  6. Step 6: Final answer
    x = 14,639.35

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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.