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Finding the Fourth Proportional to 9,653.80, 14,480.70 and 9,077.80

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Solution

The fourth proportional to 9,653.80, 14,480.70 and 9,077.80 is: 13,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.80 : 14,480.70 = 9,077.80 : x
  2. Step 2: Convert to fraction form
    9,653.80/14,480.70 = 9,077.80/x
  3. Step 3: Cross multiply
    9,653.80x = 14,480.70 × 9,077.80
  4. Step 4: Simplify right side
    9,653.80x = 131,452,898.46
  5. Step 5: Solve for x
    x = 131,452,898.46/9,653.80
  6. Step 6: Final answer
    x = 13,616.70

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Similar ratio
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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.