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Finding the Fourth Proportional to 9,596.06, 14,375.02 and 7,506.29

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Solution

The fourth proportional to 9,596.06, 14,375.02 and 7,506.29 is: 11,244.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.06 : 14,375.02 = 7,506.29 : x
  2. Step 2: Convert to fraction form
    9,596.06/14,375.02 = 7,506.29/x
  3. Step 3: Cross multiply
    9,596.06x = 14,375.02 × 7,506.29
  4. Step 4: Simplify right side
    9,596.06x = 107,903,068.88
  5. Step 5: Solve for x
    x = 107,903,068.88/9,596.06
  6. Step 6: Final answer
    x = 11,244.52

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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.