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Finding the Fourth Proportional to 6,465.72, 9,697.86 and 1,786.08

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Solution

The fourth proportional to 6,465.72, 9,697.86 and 1,786.08 is: 2,678.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.72 : 9,697.86 = 1,786.08 : x
  2. Step 2: Convert to fraction form
    6,465.72/9,697.86 = 1,786.08/x
  3. Step 3: Cross multiply
    6,465.72x = 9,697.86 × 1,786.08
  4. Step 4: Simplify right side
    6,465.72x = 17,321,153.79
  5. Step 5: Solve for x
    x = 17,321,153.79/6,465.72
  6. Step 6: Final answer
    x = 2,678.92

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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.