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Finding the Fourth Proportional to 6,875.94, 10,314.30 and 2,980.64

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Solution

The fourth proportional to 6,875.94, 10,314.30 and 2,980.64 is: 4,471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.94 : 10,314.30 = 2,980.64 : x
  2. Step 2: Convert to fraction form
    6,875.94/10,314.30 = 2,980.64/x
  3. Step 3: Cross multiply
    6,875.94x = 10,314.30 × 2,980.64
  4. Step 4: Simplify right side
    6,875.94x = 30,743,215.15
  5. Step 5: Solve for x
    x = 30,743,215.15/6,875.94
  6. Step 6: Final answer
    x = 4,471.13

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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.