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Finding the Fourth Proportional to 9,693.85, 14,514.98 and 6,353.89

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Solution

The fourth proportional to 9,693.85, 14,514.98 and 6,353.89 is: 9,513.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.85 : 14,514.98 = 6,353.89 : x
  2. Step 2: Convert to fraction form
    9,693.85/14,514.98 = 6,353.89/x
  3. Step 3: Cross multiply
    9,693.85x = 14,514.98 × 6,353.89
  4. Step 4: Simplify right side
    9,693.85x = 92,226,586.27
  5. Step 5: Solve for x
    x = 92,226,586.27/9,693.85
  6. Step 6: Final answer
    x = 9,513.93

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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.