Home / 5,684.16-7,842.62-3,416.16

Finding the Fourth Proportional to 5,684.16, 7,842.62 and 3,416.16

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Solution

The fourth proportional to 5,684.16, 7,842.62 and 3,416.16 is: 4,713.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.16 : 7,842.62 = 3,416.16 : x
  2. Step 2: Convert to fraction form
    5,684.16/7,842.62 = 3,416.16/x
  3. Step 3: Cross multiply
    5,684.16x = 7,842.62 × 3,416.16
  4. Step 4: Simplify right side
    5,684.16x = 26,791,644.74
  5. Step 5: Solve for x
    x = 26,791,644.74/5,684.16
  6. Step 6: Final answer
    x = 4,713.39

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Half scale
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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.