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Finding the Fourth Proportional to 6,656.48, 9,968.32 and 4,185.18

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Solution

The fourth proportional to 6,656.48, 9,968.32 and 4,185.18 is: 6,267.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.48 : 9,968.32 = 4,185.18 : x
  2. Step 2: Convert to fraction form
    6,656.48/9,968.32 = 4,185.18/x
  3. Step 3: Cross multiply
    6,656.48x = 9,968.32 × 4,185.18
  4. Step 4: Simplify right side
    6,656.48x = 41,719,213.50
  5. Step 5: Solve for x
    x = 41,719,213.50/6,656.48
  6. Step 6: Final answer
    x = 6,267.46

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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.