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Finding the Fourth Proportional to 10,037, 13,833.78 and 9,435.08

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Solution

The fourth proportional to 10,037, 13,833.78 and 9,435.08 is: 13,004.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037 : 13,833.78 = 9,435.08 : x
  2. Step 2: Convert to fraction form
    10,037/13,833.78 = 9,435.08/x
  3. Step 3: Cross multiply
    10,037x = 13,833.78 × 9,435.08
  4. Step 4: Simplify right side
    10,037x = 130,522,821.00
  5. Step 5: Solve for x
    x = 130,522,821.00/10,037
  6. Step 6: Final answer
    x = 13,004.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.