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Finding the Fourth Proportional to 9,596.68, 14,407.44 and 7,530.10

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Solution

The fourth proportional to 9,596.68, 14,407.44 and 7,530.10 is: 11,304.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.68 : 14,407.44 = 7,530.10 : x
  2. Step 2: Convert to fraction form
    9,596.68/14,407.44 = 7,530.10/x
  3. Step 3: Cross multiply
    9,596.68x = 14,407.44 × 7,530.10
  4. Step 4: Simplify right side
    9,596.68x = 108,489,463.94
  5. Step 5: Solve for x
    x = 108,489,463.94/9,596.68
  6. Step 6: Final answer
    x = 11,304.90

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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.