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Finding the Fourth Proportional to 6,404.24, 9,593 and 5,164.94

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Solution

The fourth proportional to 6,404.24, 9,593 and 5,164.94 is: 7,736.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.24 : 9,593 = 5,164.94 : x
  2. Step 2: Convert to fraction form
    6,404.24/9,593 = 5,164.94/x
  3. Step 3: Cross multiply
    6,404.24x = 9,593 × 5,164.94
  4. Step 4: Simplify right side
    6,404.24x = 49,547,269.42
  5. Step 5: Solve for x
    x = 49,547,269.42/6,404.24
  6. Step 6: Final answer
    x = 7,736.64

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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.