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Finding the Fourth Proportional to 9,672.54, 14,494.41 and 6,752.22

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Solution

The fourth proportional to 9,672.54, 14,494.41 and 6,752.22 is: 10,118.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.54 : 14,494.41 = 6,752.22 : x
  2. Step 2: Convert to fraction form
    9,672.54/14,494.41 = 6,752.22/x
  3. Step 3: Cross multiply
    9,672.54x = 14,494.41 × 6,752.22
  4. Step 4: Simplify right side
    9,672.54x = 97,869,445.09
  5. Step 5: Solve for x
    x = 97,869,445.09/9,672.54
  6. Step 6: Final answer
    x = 10,118.28

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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.