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Finding the Fourth Proportional to 18,298.83, 27,457.47 and 7,213.47

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Solution

The fourth proportional to 18,298.83, 27,457.47 and 7,213.47 is: 10,823.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,298.83 : 27,457.47 = 7,213.47 : x
  2. Step 2: Convert to fraction form
    18,298.83/27,457.47 = 7,213.47/x
  3. Step 3: Cross multiply
    18,298.83x = 27,457.47 × 7,213.47
  4. Step 4: Simplify right side
    18,298.83x = 198,063,636.12
  5. Step 5: Solve for x
    x = 198,063,636.12/18,298.83
  6. Step 6: Final answer
    x = 10,823.84

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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.