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Finding the Fourth Proportional to 4,596.50, 6,894.89 and 1,133.75

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Solution

The fourth proportional to 4,596.50, 6,894.89 and 1,133.75 is: 1,700.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.50 : 6,894.89 = 1,133.75 : x
  2. Step 2: Convert to fraction form
    4,596.50/6,894.89 = 1,133.75/x
  3. Step 3: Cross multiply
    4,596.50x = 6,894.89 × 1,133.75
  4. Step 4: Simplify right side
    4,596.50x = 7,817,081.54
  5. Step 5: Solve for x
    x = 7,817,081.54/4,596.50
  6. Step 6: Final answer
    x = 1,700.66

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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.