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Finding the Fourth Proportional to 7,752.60, 11,628.90 and 6,586.20

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Solution

The fourth proportional to 7,752.60, 11,628.90 and 6,586.20 is: 9,879.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.60 : 11,628.90 = 6,586.20 : x
  2. Step 2: Convert to fraction form
    7,752.60/11,628.90 = 6,586.20/x
  3. Step 3: Cross multiply
    7,752.60x = 11,628.90 × 6,586.20
  4. Step 4: Simplify right side
    7,752.60x = 76,590,261.18
  5. Step 5: Solve for x
    x = 76,590,261.18/7,752.60
  6. Step 6: Final answer
    x = 9,879.30

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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.