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Finding the Fourth Proportional to 7,782.90, 11,662.20 and 6,543.60

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Solution

The fourth proportional to 7,782.90, 11,662.20 and 6,543.60 is: 9,805.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.90 : 11,662.20 = 6,543.60 : x
  2. Step 2: Convert to fraction form
    7,782.90/11,662.20 = 6,543.60/x
  3. Step 3: Cross multiply
    7,782.90x = 11,662.20 × 6,543.60
  4. Step 4: Simplify right side
    7,782.90x = 76,312,771.92
  5. Step 5: Solve for x
    x = 76,312,771.92/7,782.90
  6. Step 6: Final answer
    x = 9,805.18

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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.