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Finding the Fourth Proportional to 9,641.68, 14,462.46 and 4,963

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Solution

The fourth proportional to 9,641.68, 14,462.46 and 4,963 is: 7,444.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.68 : 14,462.46 = 4,963 : x
  2. Step 2: Convert to fraction form
    9,641.68/14,462.46 = 4,963/x
  3. Step 3: Cross multiply
    9,641.68x = 14,462.46 × 4,963
  4. Step 4: Simplify right side
    9,641.68x = 71,777,188.98
  5. Step 5: Solve for x
    x = 71,777,188.98/9,641.68
  6. Step 6: Final answer
    x = 7,444.47

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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.