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Finding the Fourth Proportional to 9,205.10, 13,807.65 and 5,057.90

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Solution

The fourth proportional to 9,205.10, 13,807.65 and 5,057.90 is: 7,586.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.10 : 13,807.65 = 5,057.90 : x
  2. Step 2: Convert to fraction form
    9,205.10/13,807.65 = 5,057.90/x
  3. Step 3: Cross multiply
    9,205.10x = 13,807.65 × 5,057.90
  4. Step 4: Simplify right side
    9,205.10x = 69,837,712.94
  5. Step 5: Solve for x
    x = 69,837,712.94/9,205.10
  6. Step 6: Final answer
    x = 7,586.85

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Similar ratio
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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.