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Finding the Fourth Proportional to 6,477.60, 8,933.22 and 4,238.76

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Solution

The fourth proportional to 6,477.60, 8,933.22 and 4,238.76 is: 5,845.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.60 : 8,933.22 = 4,238.76 : x
  2. Step 2: Convert to fraction form
    6,477.60/8,933.22 = 4,238.76/x
  3. Step 3: Cross multiply
    6,477.60x = 8,933.22 × 4,238.76
  4. Step 4: Simplify right side
    6,477.60x = 37,865,775.61
  5. Step 5: Solve for x
    x = 37,865,775.61/6,477.60
  6. Step 6: Final answer
    x = 5,845.65

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Half scale
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Double 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.