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Finding the Fourth Proportional to 6,407.64, 9,604.86 and 4,648.26

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Solution

The fourth proportional to 6,407.64, 9,604.86 and 4,648.26 is: 6,967.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.64 : 9,604.86 = 4,648.26 : x
  2. Step 2: Convert to fraction form
    6,407.64/9,604.86 = 4,648.26/x
  3. Step 3: Cross multiply
    6,407.64x = 9,604.86 × 4,648.26
  4. Step 4: Simplify right side
    6,407.64x = 44,645,886.54
  5. Step 5: Solve for x
    x = 44,645,886.54/6,407.64
  6. Step 6: Final answer
    x = 6,967.60

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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.