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Finding the Fourth Proportional to 9,689.86, 14,514.54 and 5,792.14

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Solution

The fourth proportional to 9,689.86, 14,514.54 and 5,792.14 is: 8,676.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.86 : 14,514.54 = 5,792.14 : x
  2. Step 2: Convert to fraction form
    9,689.86/14,514.54 = 5,792.14/x
  3. Step 3: Cross multiply
    9,689.86x = 14,514.54 × 5,792.14
  4. Step 4: Simplify right side
    9,689.86x = 84,070,247.72
  5. Step 5: Solve for x
    x = 84,070,247.72/9,689.86
  6. Step 6: Final answer
    x = 8,676.11

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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.