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Finding the Fourth Proportional to 6,494.32, 8,962.98 and 4,258.06

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Solution

The fourth proportional to 6,494.32, 8,962.98 and 4,258.06 is: 5,876.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.32 : 8,962.98 = 4,258.06 : x
  2. Step 2: Convert to fraction form
    6,494.32/8,962.98 = 4,258.06/x
  3. Step 3: Cross multiply
    6,494.32x = 8,962.98 × 4,258.06
  4. Step 4: Simplify right side
    6,494.32x = 38,164,906.62
  5. Step 5: Solve for x
    x = 38,164,906.62/6,494.32
  6. Step 6: Final answer
    x = 5,876.66

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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.