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Finding the Fourth Proportional to 7,693.96, 10,613.86 and 4,822.17

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Solution

The fourth proportional to 7,693.96, 10,613.86 and 4,822.17 is: 6,652.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.96 : 10,613.86 = 4,822.17 : x
  2. Step 2: Convert to fraction form
    7,693.96/10,613.86 = 4,822.17/x
  3. Step 3: Cross multiply
    7,693.96x = 10,613.86 × 4,822.17
  4. Step 4: Simplify right side
    7,693.96x = 51,181,837.28
  5. Step 5: Solve for x
    x = 51,181,837.28/7,693.96
  6. Step 6: Final answer
    x = 6,652.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.