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Finding the Fourth Proportional to 9,670.80, 14,506.20 and 5,782.80

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Solution

The fourth proportional to 9,670.80, 14,506.20 and 5,782.80 is: 8,674.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.80 : 14,506.20 = 5,782.80 : x
  2. Step 2: Convert to fraction form
    9,670.80/14,506.20 = 5,782.80/x
  3. Step 3: Cross multiply
    9,670.80x = 14,506.20 × 5,782.80
  4. Step 4: Simplify right side
    9,670.80x = 83,886,453.36
  5. Step 5: Solve for x
    x = 83,886,453.36/9,670.80
  6. Step 6: Final answer
    x = 8,674.20

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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.