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Finding the Fourth Proportional to 6,477.44, 8,931.72 and 4,377.92

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Solution

The fourth proportional to 6,477.44, 8,931.72 and 4,377.92 is: 6,036.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.44 : 8,931.72 = 4,377.92 : x
  2. Step 2: Convert to fraction form
    6,477.44/8,931.72 = 4,377.92/x
  3. Step 3: Cross multiply
    6,477.44x = 8,931.72 × 4,377.92
  4. Step 4: Simplify right side
    6,477.44x = 39,102,355.62
  5. Step 5: Solve for x
    x = 39,102,355.62/6,477.44
  6. Step 6: Final answer
    x = 6,036.70

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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.