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Finding the Fourth Proportional to 6,656.96, 9,976.74 and 4,814.24

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Solution

The fourth proportional to 6,656.96, 9,976.74 and 4,814.24 is: 7,215.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.96 : 9,976.74 = 4,814.24 : x
  2. Step 2: Convert to fraction form
    6,656.96/9,976.74 = 4,814.24/x
  3. Step 3: Cross multiply
    6,656.96x = 9,976.74 × 4,814.24
  4. Step 4: Simplify right side
    6,656.96x = 48,030,420.78
  5. Step 5: Solve for x
    x = 48,030,420.78/6,656.96
  6. Step 6: Final answer
    x = 7,215.07

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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.