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Finding the Fourth Proportional to 9,047.66, 13,567.82 and 3,779.20

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Solution

The fourth proportional to 9,047.66, 13,567.82 and 3,779.20 is: 5,667.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.66 : 13,567.82 = 3,779.20 : x
  2. Step 2: Convert to fraction form
    9,047.66/13,567.82 = 3,779.20/x
  3. Step 3: Cross multiply
    9,047.66x = 13,567.82 × 3,779.20
  4. Step 4: Simplify right side
    9,047.66x = 51,275,505.34
  5. Step 5: Solve for x
    x = 51,275,505.34/9,047.66
  6. Step 6: Final answer
    x = 5,667.27

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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.