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Finding the Fourth Proportional to 6,477.92, 9,716.88 and 6,163.16

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Solution

The fourth proportional to 6,477.92, 9,716.88 and 6,163.16 is: 9,244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.92 : 9,716.88 = 6,163.16 : x
  2. Step 2: Convert to fraction form
    6,477.92/9,716.88 = 6,163.16/x
  3. Step 3: Cross multiply
    6,477.92x = 9,716.88 × 6,163.16
  4. Step 4: Simplify right side
    6,477.92x = 59,886,686.14
  5. Step 5: Solve for x
    x = 59,886,686.14/6,477.92
  6. Step 6: Final answer
    x = 9,244.74

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Half scale
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Double scale
Find fourth proportional to 6,478.92, 9,718.38 and 6,164.16
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.