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Finding the Fourth Proportional to 9,443.66, 14,149.76 and 6,665.76

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Solution

The fourth proportional to 9,443.66, 14,149.76 and 6,665.76 is: 9,987.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.66 : 14,149.76 = 6,665.76 : x
  2. Step 2: Convert to fraction form
    9,443.66/14,149.76 = 6,665.76/x
  3. Step 3: Cross multiply
    9,443.66x = 14,149.76 × 6,665.76
  4. Step 4: Simplify right side
    9,443.66x = 94,318,870.89
  5. Step 5: Solve for x
    x = 94,318,870.89/9,443.66
  6. Step 6: Final answer
    x = 9,987.54

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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.