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Finding the Fourth Proportional to 6,465.12, 9,695.91 and 1,784.01

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Solution

The fourth proportional to 6,465.12, 9,695.91 and 1,784.01 is: 2,675.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.12 : 9,695.91 = 1,784.01 : x
  2. Step 2: Convert to fraction form
    6,465.12/9,695.91 = 1,784.01/x
  3. Step 3: Cross multiply
    6,465.12x = 9,695.91 × 1,784.01
  4. Step 4: Simplify right side
    6,465.12x = 17,297,600.40
  5. Step 5: Solve for x
    x = 17,297,600.40/6,465.12
  6. Step 6: Final answer
    x = 2,675.53

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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.