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Finding the Fourth Proportional to 8,416, 11,616.48 and 5,059.92

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Solution

The fourth proportional to 8,416, 11,616.48 and 5,059.92 is: 6,984.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416 : 11,616.48 = 5,059.92 : x
  2. Step 2: Convert to fraction form
    8,416/11,616.48 = 5,059.92/x
  3. Step 3: Cross multiply
    8,416x = 11,616.48 × 5,059.92
  4. Step 4: Simplify right side
    8,416x = 58,778,459.48
  5. Step 5: Solve for x
    x = 58,778,459.48/8,416
  6. Step 6: Final answer
    x = 6,984.13

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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.