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Finding the Fourth Proportional to 9,672.70, 14,519.85 and 9,038.20

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Solution

The fourth proportional to 9,672.70, 14,519.85 and 9,038.20 is: 13,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.70 : 14,519.85 = 9,038.20 : x
  2. Step 2: Convert to fraction form
    9,672.70/14,519.85 = 9,038.20/x
  3. Step 3: Cross multiply
    9,672.70x = 14,519.85 × 9,038.20
  4. Step 4: Simplify right side
    9,672.70x = 131,233,308.27
  5. Step 5: Solve for x
    x = 131,233,308.27/9,672.70
  6. Step 6: Final answer
    x = 13,567.39

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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.