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Finding the Fourth Proportional to 10,832.05, 14,948.05 and 6,052.08

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Solution

The fourth proportional to 10,832.05, 14,948.05 and 6,052.08 is: 8,351.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.05 : 14,948.05 = 6,052.08 : x
  2. Step 2: Convert to fraction form
    10,832.05/14,948.05 = 6,052.08/x
  3. Step 3: Cross multiply
    10,832.05x = 14,948.05 × 6,052.08
  4. Step 4: Simplify right side
    10,832.05x = 90,466,794.44
  5. Step 5: Solve for x
    x = 90,466,794.44/10,832.05
  6. Step 6: Final answer
    x = 8,351.77

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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.