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Finding the Fourth Proportional to 9,641.76, 14,462.42 and 4,447.66

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Solution

The fourth proportional to 9,641.76, 14,462.42 and 4,447.66 is: 6,671.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.76 : 14,462.42 = 4,447.66 : x
  2. Step 2: Convert to fraction form
    9,641.76/14,462.42 = 4,447.66/x
  3. Step 3: Cross multiply
    9,641.76x = 14,462.42 × 4,447.66
  4. Step 4: Simplify right side
    9,641.76x = 64,323,926.94
  5. Step 5: Solve for x
    x = 64,323,926.94/9,641.76
  6. Step 6: Final answer
    x = 6,671.39

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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.