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Finding the Fourth Proportional to 4,617.12, 6,914.08 and 2,854.88

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Solution

The fourth proportional to 4,617.12, 6,914.08 and 2,854.88 is: 4,275.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.12 : 6,914.08 = 2,854.88 : x
  2. Step 2: Convert to fraction form
    4,617.12/6,914.08 = 2,854.88/x
  3. Step 3: Cross multiply
    4,617.12x = 6,914.08 × 2,854.88
  4. Step 4: Simplify right side
    4,617.12x = 19,738,868.71
  5. Step 5: Solve for x
    x = 19,738,868.71/4,617.12
  6. Step 6: Final answer
    x = 4,275.15

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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.