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Finding the Fourth Proportional to 6,714.24, 9,267.48 and 4,356.24

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Solution

The fourth proportional to 6,714.24, 9,267.48 and 4,356.24 is: 6,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.24 : 9,267.48 = 4,356.24 : x
  2. Step 2: Convert to fraction form
    6,714.24/9,267.48 = 4,356.24/x
  3. Step 3: Cross multiply
    6,714.24x = 9,267.48 × 4,356.24
  4. Step 4: Simplify right side
    6,714.24x = 40,371,367.08
  5. Step 5: Solve for x
    x = 40,371,367.08/6,714.24
  6. Step 6: Final answer
    x = 6,012.80

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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.