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Finding the Fourth Proportional to 9,364.74, 14,040.63 and 4,678.62

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Solution

The fourth proportional to 9,364.74, 14,040.63 and 4,678.62 is: 7,014.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364.74 : 14,040.63 = 4,678.62 : x
  2. Step 2: Convert to fraction form
    9,364.74/14,040.63 = 4,678.62/x
  3. Step 3: Cross multiply
    9,364.74x = 14,040.63 × 4,678.62
  4. Step 4: Simplify right side
    9,364.74x = 65,690,772.33
  5. Step 5: Solve for x
    x = 65,690,772.33/9,364.74
  6. Step 6: Final answer
    x = 7,014.69

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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.