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Finding the Fourth Proportional to 6,596.97, 9,895.96 and 1,917.05

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Solution

The fourth proportional to 6,596.97, 9,895.96 and 1,917.05 is: 2,875.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.97 : 9,895.96 = 1,917.05 : x
  2. Step 2: Convert to fraction form
    6,596.97/9,895.96 = 1,917.05/x
  3. Step 3: Cross multiply
    6,596.97x = 9,895.96 × 1,917.05
  4. Step 4: Simplify right side
    6,596.97x = 18,971,050.12
  5. Step 5: Solve for x
    x = 18,971,050.12/6,596.97
  6. Step 6: Final answer
    x = 2,875.72

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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.