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Finding the Fourth Proportional to 27,598.60, 41,397.90 and 6,822.10

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Solution

The fourth proportional to 27,598.60, 41,397.90 and 6,822.10 is: 10,233.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,598.60 : 41,397.90 = 6,822.10 : x
  2. Step 2: Convert to fraction form
    27,598.60/41,397.90 = 6,822.10/x
  3. Step 3: Cross multiply
    27,598.60x = 41,397.90 × 6,822.10
  4. Step 4: Simplify right side
    27,598.60x = 282,420,613.59
  5. Step 5: Solve for x
    x = 282,420,613.59/27,598.60
  6. Step 6: Final answer
    x = 10,233.15

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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.