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Finding the Fourth Proportional to 6,209.63, 9,314.43 and 1,827.08

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Solution

The fourth proportional to 6,209.63, 9,314.43 and 1,827.08 is: 2,740.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.63 : 9,314.43 = 1,827.08 : x
  2. Step 2: Convert to fraction form
    6,209.63/9,314.43 = 1,827.08/x
  3. Step 3: Cross multiply
    6,209.63x = 9,314.43 × 1,827.08
  4. Step 4: Simplify right side
    6,209.63x = 17,018,208.76
  5. Step 5: Solve for x
    x = 17,018,208.76/6,209.63
  6. Step 6: Final answer
    x = 2,740.62

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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.