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Finding the Fourth Proportional to 6,483.74, 9,727.05 and 1,866.38

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Solution

The fourth proportional to 6,483.74, 9,727.05 and 1,866.38 is: 2,799.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.74 : 9,727.05 = 1,866.38 : x
  2. Step 2: Convert to fraction form
    6,483.74/9,727.05 = 1,866.38/x
  3. Step 3: Cross multiply
    6,483.74x = 9,727.05 × 1,866.38
  4. Step 4: Simplify right side
    6,483.74x = 18,154,313.61
  5. Step 5: Solve for x
    x = 18,154,313.61/6,483.74
  6. Step 6: Final answer
    x = 2,799.98

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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.