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Finding the Fourth Proportional to 6,784.62, 9,357.51 and 4,545.78

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Solution

The fourth proportional to 6,784.62, 9,357.51 and 4,545.78 is: 6,269.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.62 : 9,357.51 = 4,545.78 : x
  2. Step 2: Convert to fraction form
    6,784.62/9,357.51 = 4,545.78/x
  3. Step 3: Cross multiply
    6,784.62x = 9,357.51 × 4,545.78
  4. Step 4: Simplify right side
    6,784.62x = 42,537,181.81
  5. Step 5: Solve for x
    x = 42,537,181.81/6,784.62
  6. Step 6: Final answer
    x = 6,269.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.