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Finding the Fourth Proportional to 8,457.04, 11,662.92 and 5,799.76

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Solution

The fourth proportional to 8,457.04, 11,662.92 and 5,799.76 is: 7,998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.04 : 11,662.92 = 5,799.76 : x
  2. Step 2: Convert to fraction form
    8,457.04/11,662.92 = 5,799.76/x
  3. Step 3: Cross multiply
    8,457.04x = 11,662.92 × 5,799.76
  4. Step 4: Simplify right side
    8,457.04x = 67,642,136.90
  5. Step 5: Solve for x
    x = 67,642,136.90/8,457.04
  6. Step 6: Final answer
    x = 7,998.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.