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Finding the Fourth Proportional to 6,509.80, 9,764.70 and 5,780.20

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Solution

The fourth proportional to 6,509.80, 9,764.70 and 5,780.20 is: 8,670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.80 : 9,764.70 = 5,780.20 : x
  2. Step 2: Convert to fraction form
    6,509.80/9,764.70 = 5,780.20/x
  3. Step 3: Cross multiply
    6,509.80x = 9,764.70 × 5,780.20
  4. Step 4: Simplify right side
    6,509.80x = 56,441,918.94
  5. Step 5: Solve for x
    x = 56,441,918.94/6,509.80
  6. Step 6: Final answer
    x = 8,670.30

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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.