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Finding the Fourth Proportional to 6,156.68, 8,496.16 and 3,362.16

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Solution

The fourth proportional to 6,156.68, 8,496.16 and 3,362.16 is: 4,639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.68 : 8,496.16 = 3,362.16 : x
  2. Step 2: Convert to fraction form
    6,156.68/8,496.16 = 3,362.16/x
  3. Step 3: Cross multiply
    6,156.68x = 8,496.16 × 3,362.16
  4. Step 4: Simplify right side
    6,156.68x = 28,565,449.31
  5. Step 5: Solve for x
    x = 28,565,449.31/6,156.68
  6. Step 6: Final answer
    x = 4,639.75

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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.