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Finding the Fourth Proportional to 6,875, 9,489.96 and 4,080.50

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Solution

The fourth proportional to 6,875, 9,489.96 and 4,080.50 is: 5,632.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875 : 9,489.96 = 4,080.50 : x
  2. Step 2: Convert to fraction form
    6,875/9,489.96 = 4,080.50/x
  3. Step 3: Cross multiply
    6,875x = 9,489.96 × 4,080.50
  4. Step 4: Simplify right side
    6,875x = 38,723,781.78
  5. Step 5: Solve for x
    x = 38,723,781.78/6,875
  6. Step 6: Final answer
    x = 5,632.55

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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.