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Finding the Fourth Proportional to 8,457.08, 11,644.03 and 7,448.10

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Solution

The fourth proportional to 8,457.08, 11,644.03 and 7,448.10 is: 10,254.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.08 : 11,644.03 = 7,448.10 : x
  2. Step 2: Convert to fraction form
    8,457.08/11,644.03 = 7,448.10/x
  3. Step 3: Cross multiply
    8,457.08x = 11,644.03 × 7,448.10
  4. Step 4: Simplify right side
    8,457.08x = 86,725,910.04
  5. Step 5: Solve for x
    x = 86,725,910.04/8,457.08
  6. Step 6: Final answer
    x = 10,254.82

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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.