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Finding the Fourth Proportional to 6,280.20, 8,646.96 and 5,334

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Solution

The fourth proportional to 6,280.20, 8,646.96 and 5,334 is: 7,344.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.20 : 8,646.96 = 5,334 : x
  2. Step 2: Convert to fraction form
    6,280.20/8,646.96 = 5,334/x
  3. Step 3: Cross multiply
    6,280.20x = 8,646.96 × 5,334
  4. Step 4: Simplify right side
    6,280.20x = 46,122,884.64
  5. Step 5: Solve for x
    x = 46,122,884.64/6,280.20
  6. Step 6: Final answer
    x = 7,344.17

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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.