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Finding the Fourth Proportional to 6,477.87, 9,716.76 and 5,597.69

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Solution

The fourth proportional to 6,477.87, 9,716.76 and 5,597.69 is: 8,396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.87 : 9,716.76 = 5,597.69 : x
  2. Step 2: Convert to fraction form
    6,477.87/9,716.76 = 5,597.69/x
  3. Step 3: Cross multiply
    6,477.87x = 9,716.76 × 5,597.69
  4. Step 4: Simplify right side
    6,477.87x = 54,391,416.36
  5. Step 5: Solve for x
    x = 54,391,416.36/6,477.87
  6. Step 6: Final answer
    x = 8,396.50

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.