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Finding the Fourth Proportional to 5,856.30, 8,784.45 and 5,613.30

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Solution

The fourth proportional to 5,856.30, 8,784.45 and 5,613.30 is: 8,419.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.30 : 8,784.45 = 5,613.30 : x
  2. Step 2: Convert to fraction form
    5,856.30/8,784.45 = 5,613.30/x
  3. Step 3: Cross multiply
    5,856.30x = 8,784.45 × 5,613.30
  4. Step 4: Simplify right side
    5,856.30x = 49,309,753.19
  5. Step 5: Solve for x
    x = 49,309,753.19/5,856.30
  6. Step 6: Final answer
    x = 8,419.95

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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.