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Finding the Fourth Proportional to 9,600.01, 14,400.03 and 6,327.72

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Solution

The fourth proportional to 9,600.01, 14,400.03 and 6,327.72 is: 9,491.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.01 : 14,400.03 = 6,327.72 : x
  2. Step 2: Convert to fraction form
    9,600.01/14,400.03 = 6,327.72/x
  3. Step 3: Cross multiply
    9,600.01x = 14,400.03 × 6,327.72
  4. Step 4: Simplify right side
    9,600.01x = 91,119,254.19
  5. Step 5: Solve for x
    x = 91,119,254.19/9,600.01
  6. Step 6: Final answer
    x = 9,491.58

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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.