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Finding the Fourth Proportional to 5,358.14, 8,084.76 and 5,358.14

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Solution

The fourth proportional to 5,358.14, 8,084.76 and 5,358.14 is: 8,084.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.14 : 8,084.76 = 5,358.14 : x
  2. Step 2: Convert to fraction form
    5,358.14/8,084.76 = 5,358.14/x
  3. Step 3: Cross multiply
    5,358.14x = 8,084.76 × 5,358.14
  4. Step 4: Simplify right side
    5,358.14x = 43,319,275.95
  5. Step 5: Solve for x
    x = 43,319,275.95/5,358.14
  6. Step 6: Final answer
    x = 8,084.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.