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Finding the Fourth Proportional to 6,165.92, 8,509.80 and 3,477.69

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Solution

The fourth proportional to 6,165.92, 8,509.80 and 3,477.69 is: 4,799.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.92 : 8,509.80 = 3,477.69 : x
  2. Step 2: Convert to fraction form
    6,165.92/8,509.80 = 3,477.69/x
  3. Step 3: Cross multiply
    6,165.92x = 8,509.80 × 3,477.69
  4. Step 4: Simplify right side
    6,165.92x = 29,594,386.42
  5. Step 5: Solve for x
    x = 29,594,386.42/6,165.92
  6. Step 6: Final answer
    x = 4,799.67

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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.