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Finding the Fourth Proportional to 6,569.69, 9,843.53 and 4,618.40

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Solution

The fourth proportional to 6,569.69, 9,843.53 and 4,618.40 is: 6,919.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.69 : 9,843.53 = 4,618.40 : x
  2. Step 2: Convert to fraction form
    6,569.69/9,843.53 = 4,618.40/x
  3. Step 3: Cross multiply
    6,569.69x = 9,843.53 × 4,618.40
  4. Step 4: Simplify right side
    6,569.69x = 45,461,286.64
  5. Step 5: Solve for x
    x = 45,461,286.64/6,569.69
  6. Step 6: Final answer
    x = 6,919.86

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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.