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Finding the Fourth Proportional to 9,653.53, 14,476.65 and 4,109.49

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Solution

The fourth proportional to 9,653.53, 14,476.65 and 4,109.49 is: 6,162.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.53 : 14,476.65 = 4,109.49 : x
  2. Step 2: Convert to fraction form
    9,653.53/14,476.65 = 4,109.49/x
  3. Step 3: Cross multiply
    9,653.53x = 14,476.65 × 4,109.49
  4. Step 4: Simplify right side
    9,653.53x = 59,491,648.41
  5. Step 5: Solve for x
    x = 59,491,648.41/9,653.53
  6. Step 6: Final answer
    x = 6,162.68

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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.