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Finding the Fourth Proportional to 12,045.85, 16,609.11 and 9,653.91

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Solution

The fourth proportional to 12,045.85, 16,609.11 and 9,653.91 is: 13,311.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,045.85 : 16,609.11 = 9,653.91 : x
  2. Step 2: Convert to fraction form
    12,045.85/16,609.11 = 9,653.91/x
  3. Step 3: Cross multiply
    12,045.85x = 16,609.11 × 9,653.91
  4. Step 4: Simplify right side
    12,045.85x = 160,342,853.12
  5. Step 5: Solve for x
    x = 160,342,853.12/12,045.85
  6. Step 6: Final answer
    x = 13,311.05

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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.