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Finding the Fourth Proportional to 10,224.58, 14,109.85 and 5,808.58

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Solution

The fourth proportional to 10,224.58, 14,109.85 and 5,808.58 is: 8,015.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.58 : 14,109.85 = 5,808.58 : x
  2. Step 2: Convert to fraction form
    10,224.58/14,109.85 = 5,808.58/x
  3. Step 3: Cross multiply
    10,224.58x = 14,109.85 × 5,808.58
  4. Step 4: Simplify right side
    10,224.58x = 81,958,192.51
  5. Step 5: Solve for x
    x = 81,958,192.51/10,224.58
  6. Step 6: Final answer
    x = 8,015.80

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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.