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Finding the Fourth Proportional to 9,604.78, 14,407.03 and 5,857.66

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Solution

The fourth proportional to 9,604.78, 14,407.03 and 5,857.66 is: 8,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.78 : 14,407.03 = 5,857.66 : x
  2. Step 2: Convert to fraction form
    9,604.78/14,407.03 = 5,857.66/x
  3. Step 3: Cross multiply
    9,604.78x = 14,407.03 × 5,857.66
  4. Step 4: Simplify right side
    9,604.78x = 84,391,483.35
  5. Step 5: Solve for x
    x = 84,391,483.35/9,604.78
  6. Step 6: Final answer
    x = 8,786.40

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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.