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Finding the Fourth Proportional to 4,846.64, 6,702.40 and 4,759.20

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Solution

The fourth proportional to 4,846.64, 6,702.40 and 4,759.20 is: 6,581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.64 : 6,702.40 = 4,759.20 : x
  2. Step 2: Convert to fraction form
    4,846.64/6,702.40 = 4,759.20/x
  3. Step 3: Cross multiply
    4,846.64x = 6,702.40 × 4,759.20
  4. Step 4: Simplify right side
    4,846.64x = 31,898,062.08
  5. Step 5: Solve for x
    x = 31,898,062.08/4,846.64
  6. Step 6: Final answer
    x = 6,581.48

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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.