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Finding the Fourth Proportional to 9,755.41, 14,633.12 and 4,564.93

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Solution

The fourth proportional to 9,755.41, 14,633.12 and 4,564.93 is: 6,847.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.41 : 14,633.12 = 4,564.93 : x
  2. Step 2: Convert to fraction form
    9,755.41/14,633.12 = 4,564.93/x
  3. Step 3: Cross multiply
    9,755.41x = 14,633.12 × 4,564.93
  4. Step 4: Simplify right side
    9,755.41x = 66,799,168.48
  5. Step 5: Solve for x
    x = 66,799,168.48/9,755.41
  6. Step 6: Final answer
    x = 6,847.40

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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.