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Finding the Fourth Proportional to 9,524.66, 14,290.42 and 4,259.22

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Solution

The fourth proportional to 9,524.66, 14,290.42 and 4,259.22 is: 6,390.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.66 : 14,290.42 = 4,259.22 : x
  2. Step 2: Convert to fraction form
    9,524.66/14,290.42 = 4,259.22/x
  3. Step 3: Cross multiply
    9,524.66x = 14,290.42 × 4,259.22
  4. Step 4: Simplify right side
    9,524.66x = 60,866,042.67
  5. Step 5: Solve for x
    x = 60,866,042.67/9,524.66
  6. Step 6: Final answer
    x = 6,390.36

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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.