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Finding the Fourth Proportional to 6,465.50, 9,696.47 and 1,784.39

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Solution

The fourth proportional to 6,465.50, 9,696.47 and 1,784.39 is: 2,676.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.50 : 9,696.47 = 1,784.39 : x
  2. Step 2: Convert to fraction form
    6,465.50/9,696.47 = 1,784.39/x
  3. Step 3: Cross multiply
    6,465.50x = 9,696.47 × 1,784.39
  4. Step 4: Simplify right side
    6,465.50x = 17,302,240.08
  5. Step 5: Solve for x
    x = 17,302,240.08/6,465.50
  6. Step 6: Final answer
    x = 2,676.09

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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.