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Finding the Fourth Proportional to 9,487.96, 14,238.94 and 4,560.44

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Solution

The fourth proportional to 9,487.96, 14,238.94 and 4,560.44 is: 6,844.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.96 : 14,238.94 = 4,560.44 : x
  2. Step 2: Convert to fraction form
    9,487.96/14,238.94 = 4,560.44/x
  3. Step 3: Cross multiply
    9,487.96x = 14,238.94 × 4,560.44
  4. Step 4: Simplify right side
    9,487.96x = 64,935,831.53
  5. Step 5: Solve for x
    x = 64,935,831.53/9,487.96
  6. Step 6: Final answer
    x = 6,844.02

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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.