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Finding the Fourth Proportional to 10,341, 14,272.20 and 6,151.68

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Solution

The fourth proportional to 10,341, 14,272.20 and 6,151.68 is: 8,490.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,341 : 14,272.20 = 6,151.68 : x
  2. Step 2: Convert to fraction form
    10,341/14,272.20 = 6,151.68/x
  3. Step 3: Cross multiply
    10,341x = 14,272.20 × 6,151.68
  4. Step 4: Simplify right side
    10,341x = 87,798,007.30
  5. Step 5: Solve for x
    x = 87,798,007.30/10,341
  6. Step 6: Final answer
    x = 8,490.28

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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.