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Finding the Fourth Proportional to 6,852.63, 9,447.93 and 4,609.74

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Solution

The fourth proportional to 6,852.63, 9,447.93 and 4,609.74 is: 6,355.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.63 : 9,447.93 = 4,609.74 : x
  2. Step 2: Convert to fraction form
    6,852.63/9,447.93 = 4,609.74/x
  3. Step 3: Cross multiply
    6,852.63x = 9,447.93 × 4,609.74
  4. Step 4: Simplify right side
    6,852.63x = 43,552,500.84
  5. Step 5: Solve for x
    x = 43,552,500.84/6,852.63
  6. Step 6: Final answer
    x = 6,355.59

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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.