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Finding the Fourth Proportional to 10,152.84, 14,009.22 and 5,676.68

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Solution

The fourth proportional to 10,152.84, 14,009.22 and 5,676.68 is: 7,832.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.84 : 14,009.22 = 5,676.68 : x
  2. Step 2: Convert to fraction form
    10,152.84/14,009.22 = 5,676.68/x
  3. Step 3: Cross multiply
    10,152.84x = 14,009.22 × 5,676.68
  4. Step 4: Simplify right side
    10,152.84x = 79,525,858.99
  5. Step 5: Solve for x
    x = 79,525,858.99/10,152.84
  6. Step 6: Final answer
    x = 7,832.87

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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.