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Finding the Fourth Proportional to 6,875.84, 10,314.11 and 2,659.08

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Solution

The fourth proportional to 6,875.84, 10,314.11 and 2,659.08 is: 3,988.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.84 : 10,314.11 = 2,659.08 : x
  2. Step 2: Convert to fraction form
    6,875.84/10,314.11 = 2,659.08/x
  3. Step 3: Cross multiply
    6,875.84x = 10,314.11 × 2,659.08
  4. Step 4: Simplify right side
    6,875.84x = 27,426,043.62
  5. Step 5: Solve for x
    x = 27,426,043.62/6,875.84
  6. Step 6: Final answer
    x = 3,988.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.