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Finding the Fourth Proportional to 4,854.74, 6,697.91 and 2,965.64

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Solution

The fourth proportional to 4,854.74, 6,697.91 and 2,965.64 is: 4,091.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.74 : 6,697.91 = 2,965.64 : x
  2. Step 2: Convert to fraction form
    4,854.74/6,697.91 = 2,965.64/x
  3. Step 3: Cross multiply
    4,854.74x = 6,697.91 × 2,965.64
  4. Step 4: Simplify right side
    4,854.74x = 19,863,541.49
  5. Step 5: Solve for x
    x = 19,863,541.49/4,854.74
  6. Step 6: Final answer
    x = 4,091.58

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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.