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Finding the Fourth Proportional to 8,454.62, 11,666.61 and 4,868.62

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Solution

The fourth proportional to 8,454.62, 11,666.61 and 4,868.62 is: 6,718.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.62 : 11,666.61 = 4,868.62 : x
  2. Step 2: Convert to fraction form
    8,454.62/11,666.61 = 4,868.62/x
  3. Step 3: Cross multiply
    8,454.62x = 11,666.61 × 4,868.62
  4. Step 4: Simplify right side
    8,454.62x = 56,800,287.10
  5. Step 5: Solve for x
    x = 56,800,287.10/8,454.62
  6. Step 6: Final answer
    x = 6,718.26

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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.