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Finding the Fourth Proportional to 4,666.46, 6,999.64 and 1,892.47

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Solution

The fourth proportional to 4,666.46, 6,999.64 and 1,892.47 is: 2,838.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.46 : 6,999.64 = 1,892.47 : x
  2. Step 2: Convert to fraction form
    4,666.46/6,999.64 = 1,892.47/x
  3. Step 3: Cross multiply
    4,666.46x = 6,999.64 × 1,892.47
  4. Step 4: Simplify right side
    4,666.46x = 13,246,608.71
  5. Step 5: Solve for x
    x = 13,246,608.71/4,666.46
  6. Step 6: Final answer
    x = 2,838.68

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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.