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Finding the Fourth Proportional to 9,504.42, 14,259.48 and 6,736.41

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Solution

The fourth proportional to 9,504.42, 14,259.48 and 6,736.41 is: 10,106.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504.42 : 14,259.48 = 6,736.41 : x
  2. Step 2: Convert to fraction form
    9,504.42/14,259.48 = 6,736.41/x
  3. Step 3: Cross multiply
    9,504.42x = 14,259.48 × 6,736.41
  4. Step 4: Simplify right side
    9,504.42x = 96,057,703.67
  5. Step 5: Solve for x
    x = 96,057,703.67/9,504.42
  6. Step 6: Final answer
    x = 10,106.63

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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.