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Finding the Fourth Proportional to 9,653.39, 14,470.16 and 5,484.49

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Solution

The fourth proportional to 9,653.39, 14,470.16 and 5,484.49 is: 8,221.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.39 : 14,470.16 = 5,484.49 : x
  2. Step 2: Convert to fraction form
    9,653.39/14,470.16 = 5,484.49/x
  3. Step 3: Cross multiply
    9,653.39x = 14,470.16 × 5,484.49
  4. Step 4: Simplify right side
    9,653.39x = 79,361,447.82
  5. Step 5: Solve for x
    x = 79,361,447.82/9,653.39
  6. Step 6: Final answer
    x = 8,221.10

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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.