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Finding the Fourth Proportional to 10,835.34, 16,253.10 and 3,044.22

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Solution

The fourth proportional to 10,835.34, 16,253.10 and 3,044.22 is: 4,566.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,835.34 : 16,253.10 = 3,044.22 : x
  2. Step 2: Convert to fraction form
    10,835.34/16,253.10 = 3,044.22/x
  3. Step 3: Cross multiply
    10,835.34x = 16,253.10 × 3,044.22
  4. Step 4: Simplify right side
    10,835.34x = 49,478,012.08
  5. Step 5: Solve for x
    x = 49,478,012.08/10,835.34
  6. Step 6: Final answer
    x = 4,566.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.