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Finding the Fourth Proportional to 6,107.76, 8,420.76 and 5,267.52

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Solution

The fourth proportional to 6,107.76, 8,420.76 and 5,267.52 is: 7,262.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.76 : 8,420.76 = 5,267.52 : x
  2. Step 2: Convert to fraction form
    6,107.76/8,420.76 = 5,267.52/x
  3. Step 3: Cross multiply
    6,107.76x = 8,420.76 × 5,267.52
  4. Step 4: Simplify right side
    6,107.76x = 44,356,521.72
  5. Step 5: Solve for x
    x = 44,356,521.72/6,107.76
  6. Step 6: Final answer
    x = 7,262.32

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Half scale
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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.