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Finding the Fourth Proportional to 6,937, 10,405.51 and 2,833

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Solution

The fourth proportional to 6,937, 10,405.51 and 2,833 is: 4,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937 : 10,405.51 = 2,833 : x
  2. Step 2: Convert to fraction form
    6,937/10,405.51 = 2,833/x
  3. Step 3: Cross multiply
    6,937x = 10,405.51 × 2,833
  4. Step 4: Simplify right side
    6,937x = 29,478,809.83
  5. Step 5: Solve for x
    x = 29,478,809.83/6,937
  6. Step 6: Final answer
    x = 4,249.50

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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.