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Finding the Fourth Proportional to 9,653.70, 14,470.68 and 5,484.90

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Solution

The fourth proportional to 9,653.70, 14,470.68 and 5,484.90 is: 8,221.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.70 : 14,470.68 = 5,484.90 : x
  2. Step 2: Convert to fraction form
    9,653.70/14,470.68 = 5,484.90/x
  3. Step 3: Cross multiply
    9,653.70x = 14,470.68 × 5,484.90
  4. Step 4: Simplify right side
    9,653.70x = 79,370,232.73
  5. Step 5: Solve for x
    x = 79,370,232.73/9,653.70
  6. Step 6: Final answer
    x = 8,221.74

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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.